What is the Least Common Multiple of 64389 and 64395?

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 64389 and 64395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64389 and 64395, than apply into the LCM equation.

GCF(64389,64395) = 3
LCM(64389,64395) = ( 64389 × 64395) / 3
LCM(64389,64395) = 4146329655 / 3
LCM(64389,64395) = 1382109885

Least Common Multiple (LCM) of 64389 and 64395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64389 and 64395. First we will calculate the prime factors of 64389 and 64395.

Prime Factorization of 64389

Prime Factorization of 64395

Now multiplying the highest exponent prime factors to calculate the LCM of 64389 and 64395.

LCM(64389,64395) = 3⁵ × 13² × 127¹ × 5¹ × 53¹
LCM(64389,64395) = 1382109885