What is the Least Common Multiple of 29646 and 29664?

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 29646 and 29664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29646 and 29664, than apply into the LCM equation.

GCF(29646,29664) = 18
LCM(29646,29664) = ( 29646 × 29664) / 18
LCM(29646,29664) = 879418944 / 18
LCM(29646,29664) = 48856608

Least Common Multiple (LCM) of 29646 and 29664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29646 and 29664. First we will calculate the prime factors of 29646 and 29664.

Prime Factorization of 29646

Prime Factorization of 29664

Now multiplying the highest exponent prime factors to calculate the LCM of 29646 and 29664.

LCM(29646,29664) = 2⁵ × 3⁵ × 61¹ × 103¹
LCM(29646,29664) = 48856608