MATH SOLVE

3 months ago

Q:
# What is the least common multiple of 14 and 4

Accepted Solution

A:

Answer: 28Step-by-step explanation:It is often convenient to compute the Least Common Multiple (LCM) as the product of the numbers divided by their greatest common factor. In this case, that would be ... LCM = (14 × 4)/2 = 28___As a check, you can do it by looking at the prime factors of these numbers. The LCM will be the product of the unique factors to their highest powers. 14 = 2·7 4 = 2^2Unique factors are 2 and 7. The highest power of 2 is 2; the highest power of 7 is 1. LCM = 2^2·7 = 28