What is the Least Common Multiple of 64200 and 64212?

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 64212 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 64212, than apply into the LCM equation.

GCF(64200,64212) = 12
LCM(64200,64212) = ( 64200 × 64212) / 12
LCM(64200,64212) = 4122410400 / 12
LCM(64200,64212) = 343534200

Least Common Multiple (LCM) of 64200 and 64212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64200 and 64212. First we will calculate the prime factors of 64200 and 64212.

Prime Factorization of 64200

Prime Factorization of 64212

Now multiplying the highest exponent prime factors to calculate the LCM of 64200 and 64212.

LCM(64200,64212) = 2³ × 3¹ × 5² × 107¹ × 5351¹
LCM(64200,64212) = 343534200