What is the Least Common Multiple of 64728 and 64732?

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 64728 and 64732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64728 and 64732, than apply into the LCM equation.

GCF(64728,64732) = 4
LCM(64728,64732) = ( 64728 × 64732) / 4
LCM(64728,64732) = 4189972896 / 4
LCM(64728,64732) = 1047493224

Least Common Multiple (LCM) of 64728 and 64732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64728 and 64732. First we will calculate the prime factors of 64728 and 64732.

Prime Factorization of 64728

Prime Factorization of 64732

Now multiplying the highest exponent prime factors to calculate the LCM of 64728 and 64732.

LCM(64728,64732) = 2³ × 3² × 29¹ × 31¹ × 16183¹
LCM(64728,64732) = 1047493224