What is the Least Common Multiple of 64375 and 64380?

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 64375 and 64380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64375 and 64380, than apply into the LCM equation.

GCF(64375,64380) = 5
LCM(64375,64380) = ( 64375 × 64380) / 5
LCM(64375,64380) = 4144462500 / 5
LCM(64375,64380) = 828892500

Least Common Multiple (LCM) of 64375 and 64380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64375 and 64380. First we will calculate the prime factors of 64375 and 64380.

Prime Factorization of 64375

Prime Factorization of 64380

Now multiplying the highest exponent prime factors to calculate the LCM of 64375 and 64380.

LCM(64375,64380) = 5⁴ × 103¹ × 2² × 3¹ × 29¹ × 37¹
LCM(64375,64380) = 828892500