What is the Least Common Multiple of 64719 and 64728?

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 64728 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 64728, than apply into the LCM equation.

GCF(64719,64728) = 9
LCM(64719,64728) = ( 64719 × 64728) / 9
LCM(64719,64728) = 4189131432 / 9
LCM(64719,64728) = 465459048

Least Common Multiple (LCM) of 64719 and 64728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64719 and 64728. First we will calculate the prime factors of 64719 and 64728.

Prime Factorization of 64719

Prime Factorization of 64728

Now multiplying the highest exponent prime factors to calculate the LCM of 64719 and 64728.

LCM(64719,64728) = 3⁴ × 17¹ × 47¹ × 2³ × 29¹ × 31¹
LCM(64719,64728) = 465459048