What is the Least Common Multiple of 6657 and 6664?

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 6657 and 6664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6657 and 6664, than apply into the LCM equation.

GCF(6657,6664) = 7
LCM(6657,6664) = ( 6657 × 6664) / 7
LCM(6657,6664) = 44362248 / 7
LCM(6657,6664) = 6337464

Least Common Multiple (LCM) of 6657 and 6664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6657 and 6664. First we will calculate the prime factors of 6657 and 6664.

Prime Factorization of 6657

Prime Factorization of 6664

Now multiplying the highest exponent prime factors to calculate the LCM of 6657 and 6664.

LCM(6657,6664) = 3¹ × 7² × 317¹ × 2³ × 17¹
LCM(6657,6664) = 6337464