What is the Least Common Multiple of 64180 and 64200?

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 64180 and 64200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64180 and 64200, than apply into the LCM equation.

GCF(64180,64200) = 20
LCM(64180,64200) = ( 64180 × 64200) / 20
LCM(64180,64200) = 4120356000 / 20
LCM(64180,64200) = 206017800

Least Common Multiple (LCM) of 64180 and 64200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64180 and 64200. First we will calculate the prime factors of 64180 and 64200.

Prime Factorization of 64180

Prime Factorization of 64200

Now multiplying the highest exponent prime factors to calculate the LCM of 64180 and 64200.

LCM(64180,64200) = 2³ × 5² × 3209¹ × 3¹ × 107¹
LCM(64180,64200) = 206017800