Answer: The least common multiple of 4 and 6 is 12 because this is the smallest positive integer that is divisible by both 4 and 6.
Step-by-step explanation:
- The least common multiple of two integers m and n is the least positive integer that is divisible by both m and n.
We are given that :
The first five multiples for the numbers 4 and 6 are shown below.
[tex]\text{ Multiples of 4: 4, 8, 12, 16, 20, . . . }\\\\\text{Multiples of 6: 6, 12, 18, 24, 30, . . . }[/tex]
We can see that from the multiples of 4 and 6 , the least common multiple of 4 and 6 =12 such that 12 is divisible by 4 and 6 .
