What is the Least Common Multiple of 64200 and 64215?

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 64200 and 64215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64200 and 64215, than apply into the LCM equation.

GCF(64200,64215) = 15
LCM(64200,64215) = ( 64200 × 64215) / 15
LCM(64200,64215) = 4122603000 / 15
LCM(64200,64215) = 274840200

Least Common Multiple (LCM) of 64200 and 64215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64200 and 64215. First we will calculate the prime factors of 64200 and 64215.

Prime Factorization of 64200

Prime Factorization of 64215

Now multiplying the highest exponent prime factors to calculate the LCM of 64200 and 64215.

LCM(64200,64215) = 2³ × 3² × 5² × 107¹ × 1427¹
LCM(64200,64215) = 274840200