What is the Least Common Multiple of 62646 and 62664?

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 62646 and 62664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62646 and 62664, than apply into the LCM equation.

GCF(62646,62664) = 6
LCM(62646,62664) = ( 62646 × 62664) / 6
LCM(62646,62664) = 3925648944 / 6
LCM(62646,62664) = 654274824

Least Common Multiple (LCM) of 62646 and 62664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62646 and 62664. First we will calculate the prime factors of 62646 and 62664.

Prime Factorization of 62646

Prime Factorization of 62664

Now multiplying the highest exponent prime factors to calculate the LCM of 62646 and 62664.

LCM(62646,62664) = 2³ × 3¹ × 53¹ × 197¹ × 7¹ × 373¹
LCM(62646,62664) = 654274824