What is the Least Common Multiple of 8724 and 8737?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 8724 and 8737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8724 and 8737, than apply into the LCM equation.

GCF(8724,8737) = 1
LCM(8724,8737) = ( 8724 × 8737) / 1
LCM(8724,8737) = 76221588 / 1
LCM(8724,8737) = 76221588

Least Common Multiple (LCM) of 8724 and 8737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8724 and 8737. First we will calculate the prime factors of 8724 and 8737.

Prime Factorization of 8724

Prime Factorization of 8737

Now multiplying the highest exponent prime factors to calculate the LCM of 8724 and 8737.

LCM(8724,8737) = 2² × 3¹ × 727¹ × 8737¹
LCM(8724,8737) = 76221588