What is the Least Common Multiple of 64312 and 64329?

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 64312 and 64329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64312 and 64329, than apply into the LCM equation.

GCF(64312,64329) = 1
LCM(64312,64329) = ( 64312 × 64329) / 1
LCM(64312,64329) = 4137126648 / 1
LCM(64312,64329) = 4137126648

Least Common Multiple (LCM) of 64312 and 64329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64312 and 64329. First we will calculate the prime factors of 64312 and 64329.

Prime Factorization of 64312

Prime Factorization of 64329

Now multiplying the highest exponent prime factors to calculate the LCM of 64312 and 64329.

LCM(64312,64329) = 2³ × 8039¹ × 3¹ × 41¹ × 523¹
LCM(64312,64329) = 4137126648