Question

using the listing of multiples method,find the LCM of 21and14​

Answer 1

Free LCM Calculator determines the least common multiple (LCM) between 14 and 21 the smallest integer that is 42 that is divisible by both numbers. Least Common Multiple (LCM) of 14 and 21 is 42.

Answer 2

Answer:

Least common multiple can be found by multiplying the highest exponent prime factors of 14 and 21. First we will calculate the prime factors of 14 and 21.

Prime Factorization of 14

214771

Prime factors of 14 are 2,7. Prime factorization of 14 in exponential form is:

14 = 21×71

Prime Factorization of 21

321771

Prime factors of 21 are 3,7. Prime factorization of 21 in exponential form is:

21 = 31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 14 and 21.

LCM(14,21) = 21×31×71

LCM(14,21) = 42