What is the Least Common Multiple of 8657 and 8664?

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 8657 and 8664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8657 and 8664, than apply into the LCM equation.

GCF(8657,8664) = 1
LCM(8657,8664) = ( 8657 × 8664) / 1
LCM(8657,8664) = 75004248 / 1
LCM(8657,8664) = 75004248

Least Common Multiple (LCM) of 8657 and 8664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8657 and 8664. First we will calculate the prime factors of 8657 and 8664.

Prime Factorization of 8657

Prime Factorization of 8664

Now multiplying the highest exponent prime factors to calculate the LCM of 8657 and 8664.

LCM(8657,8664) = 11¹ × 787¹ × 2³ × 3¹ × 19²
LCM(8657,8664) = 75004248