What is the Least Common Multiple of 93648 and 93664?

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 93648 and 93664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93648 and 93664, than apply into the LCM equation.

GCF(93648,93664) = 16
LCM(93648,93664) = ( 93648 × 93664) / 16
LCM(93648,93664) = 8771446272 / 16
LCM(93648,93664) = 548215392

Least Common Multiple (LCM) of 93648 and 93664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93648 and 93664. First we will calculate the prime factors of 93648 and 93664.

Prime Factorization of 93648

Prime Factorization of 93664

Now multiplying the highest exponent prime factors to calculate the LCM of 93648 and 93664.

LCM(93648,93664) = 2⁵ × 3¹ × 1951¹ × 2927¹
LCM(93648,93664) = 548215392