What is the Least Common Multiple of 47646 and 47664?

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 47646 and 47664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47646 and 47664, than apply into the LCM equation.

GCF(47646,47664) = 18
LCM(47646,47664) = ( 47646 × 47664) / 18
LCM(47646,47664) = 2270998944 / 18
LCM(47646,47664) = 126166608

Least Common Multiple (LCM) of 47646 and 47664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47646 and 47664. First we will calculate the prime factors of 47646 and 47664.

Prime Factorization of 47646

Prime Factorization of 47664

Now multiplying the highest exponent prime factors to calculate the LCM of 47646 and 47664.

LCM(47646,47664) = 2⁴ × 3² × 2647¹ × 331¹
LCM(47646,47664) = 126166608