What is the least common multiple of 30 and 42

To find the least common multiple for the integers 30 and 42, we start by making a factor tree for each of our integers. -Image Provided- Notice that our two's match up as factors of each of our integers. The number three also matches up as factors of each of our integers. When finding the least common multiple, we can simply multiply all of our factors together. Since the two's match up and so does the number 3, we only multiply by a two and a three once. Then, we multiply the 5 which does not match up and the 7 which does not match up.

The least common multiple (LCM) of 30 and 42 is 210. We have, To find the least common multiple (LCM) of 30 and 42, we can list the multiples of each number and identify the smallest common multiple. Multiples of 30: 30, 60, 90, 120, 150, 180, 210, ... Multiples of 42: 42, 84, 126, 168, 210, ... We can see that the least common multiple of 30 and 42 is 210 because it is the smallest number that appears in both lists. Therefore, The least common multiple (LCM) of 30 and 42 is 210. Learn more about expressions here: brainly.com/question/3118662 #SPJ6