What is the Least Common Multiple of 44646 and 44664?

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 44646 and 44664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44646 and 44664, than apply into the LCM equation.

GCF(44646,44664) = 6
LCM(44646,44664) = ( 44646 × 44664) / 6
LCM(44646,44664) = 1994068944 / 6
LCM(44646,44664) = 332344824

Least Common Multiple (LCM) of 44646 and 44664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44646 and 44664. First we will calculate the prime factors of 44646 and 44664.

Prime Factorization of 44646

Prime Factorization of 44664

Now multiplying the highest exponent prime factors to calculate the LCM of 44646 and 44664.

LCM(44646,44664) = 2³ × 3¹ × 7¹ × 1063¹ × 1861¹
LCM(44646,44664) = 332344824