{"id":6639,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/ppcm\/"},"modified":"2021-02-26T08:09:35","modified_gmt":"2021-02-26T08:09:35","slug":"lcm","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/lcm\/","title":{"rendered":"PPCM"},"content":{"rendered":"<p>Le Plus Petit Commun Multiple (PPCM), ou Least Common Multiple (LCM) en anglais, est une fonction essentielle dans Microsoft Excel et Google Sheets pour d\u00e9terminer le plus petit multiple commun de deux nombres ou plus. Cette fonction trouve fr\u00e9quemment son application dans la planification, l&rsquo;analyse num\u00e9rique et les contextes n\u00e9cessitant la synchronisation de cycles r\u00e9p\u00e9titifs.<\/p>\n<h2>Syntaxe de la fonction PPCM<\/h2>\n<p>Dans Microsoft Excel, la syntaxe de la fonction PPCM est la suivante :<\/p>\n<pre><code>=PPCM(nombre1, [nombre2], ...)<\/code><\/pre>\n<p>Les param\u00e8tres \u00ab\u00a0nombre1\u00a0\u00bb, \u00ab\u00a0nombre2\u00a0\u00bb, &#8230; correspondent aux nombres dont vous souhaitez calculer le plus petit multiple commun. Vous pouvez inclure jusqu&rsquo;\u00e0 255 arguments num\u00e9riques.<\/p>\n<p>Dans Google Sheets, la fonction porte \u00e9galement le nom de PPCM et utilise une syntaxe similaire :<\/p>\n<pre><code>=PPCM(nombre1, [nombre2], ...)<\/code><\/pre>\n<p>Les fonctionnalit\u00e9s et les limitations sont identiques \u00e0 celles de Excel.<\/p>\n<h2>Exemple d&rsquo;utilisation<\/h2>\n<p>Prenons l&rsquo;exemple o\u00f9 vous d\u00e9sirez obtenir le PPCM de 15 et 20. Dans Excel ou Google Sheets, vous saisiriez :<\/p>\n<pre><code>=PPCM(15, 20)<\/code><\/pre>\n<p>Le r\u00e9sultat affich\u00e9 serait 60, car 60 est le plus petit nombre qui est un multiple \u00e0 la fois de 15 et de 20.<\/p>\n<h2>Sc\u00e9narios pratiques<\/h2>\n<h2>Planification d&rsquo;\u00e9v\u00e9nements<\/h2>\n<p>Supposons que vous soyez organisateur d&rsquo;\u00e9v\u00e9nements et que vous deviez coordonner deux activit\u00e9s se r\u00e9p\u00e9tant tous les 7 et 9 jours respectivement. Pour \u00e9viter les chevauchements, il serait judicieux de trouver un jour o\u00f9 les deux activit\u00e9s peuvent co\u00efncider.<\/p>\n<p>Utilisez la fonction PPCM dans votre tableur :<\/p>\n<pre><code>=PPCM(7, 9)<\/code><\/pre>\n<p>Le r\u00e9sultat, 63, indique que tous les 63 jours, les deux \u00e9v\u00e9nements peuvent th\u00e9oriquement \u00eatre organis\u00e9s le m\u00eame jour sans conflit.<\/p>\n<h2>Organisation de la maintenance industrielle<\/h2>\n<p>Imaginez que vous soyez en charge de la maintenance des machines dans une usine, o\u00f9 une machine n\u00e9cessite un entretien tous les 10 jours et une autre tous les 15 jours. Pour r\u00e9duire le temps d&rsquo;arr\u00eat, il serait b\u00e9n\u00e9fique de planifier ces maintenances afin qu&rsquo;elles co\u00efncident le moins souvent possible.<\/p>\n<p>Dans ce cas, calculez le PPCM de ces deux intervalles :<\/p>\n<pre><code>=PPCM(10, 15)<\/code><\/pre>\n<p>Le chiffre 30 vous indique que planifier les maintenances tous les 30 jours vous permettrait d&rsquo;optimiser l&rsquo;utilisation des ressources.<\/p>\n<p>Ainsi, la fonction PPCM s&rsquo;av\u00e8re \u00eatre un outil pr\u00e9cieux pour l&rsquo;optimisation des plans et la coordination de t\u00e2ches p\u00e9riodiques dans divers domaines professionnels.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Renvoie le plus petit commun multiple<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[310],"tags":[],"class_list":["post-6639","post","type-post","status-publish","format-standard","hentry","category-mathematiques-et-trigonometrie"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fonction LCM (PPCM) dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction LCM (PPCM) d\u2019Excel et Google Sheets. 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