A common multiple is a number that two other numbers will divide
into evenly. The least common multiple (LCM) is the smallest of
the common multiples of two numbers.
Example: Find the least common multiple of 36 and 48.
Step 1:Factor each number into the product of primes. |
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Step 2:Circle those factors that are common to each number. |
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Step 3:The LCM is the product of the numbers which are circled |
 Thus, the LCM of 36 and 48 is 144. |
Alternate Method:
You can also find the LCM by multiplying the two factors together and then
dividing the result by the GCF.
i.e. 36 x 48 = 1728. The GCF of 36 and 48 is 12. 1728 divided
by 12 is 144. Thus, the LCM of 38 and 48 is 144.