What is the Least Common Multiple of 64719 and 64737?

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 64719 and 64737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64719 and 64737, than apply into the LCM equation.

GCF(64719,64737) = 9
LCM(64719,64737) = ( 64719 × 64737) / 9
LCM(64719,64737) = 4189713903 / 9
LCM(64719,64737) = 465523767

Least Common Multiple (LCM) of 64719 and 64737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64719 and 64737. First we will calculate the prime factors of 64719 and 64737.

Prime Factorization of 64719

Prime Factorization of 64737

Now multiplying the highest exponent prime factors to calculate the LCM of 64719 and 64737.

LCM(64719,64737) = 3⁴ × 17¹ × 47¹ × 7193¹
LCM(64719,64737) = 465523767