What is the Least Common Multiple of 64164 and 64180?

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 64164 and 64180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64164 and 64180, than apply into the LCM equation.

GCF(64164,64180) = 4
LCM(64164,64180) = ( 64164 × 64180) / 4
LCM(64164,64180) = 4118045520 / 4
LCM(64164,64180) = 1029511380

Least Common Multiple (LCM) of 64164 and 64180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64164 and 64180. First we will calculate the prime factors of 64164 and 64180.

Prime Factorization of 64164

Prime Factorization of 64180

Now multiplying the highest exponent prime factors to calculate the LCM of 64164 and 64180.

LCM(64164,64180) = 2² × 3¹ × 5347¹ × 5¹ × 3209¹
LCM(64164,64180) = 1029511380