What is the Least Common Multiple of 4657 and 4664?

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 4657 and 4664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4657 and 4664, than apply into the LCM equation.

GCF(4657,4664) = 1
LCM(4657,4664) = ( 4657 × 4664) / 1
LCM(4657,4664) = 21720248 / 1
LCM(4657,4664) = 21720248

Least Common Multiple (LCM) of 4657 and 4664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4657 and 4664. First we will calculate the prime factors of 4657 and 4664.

Prime Factorization of 4657

Prime Factorization of 4664

Now multiplying the highest exponent prime factors to calculate the LCM of 4657 and 4664.

LCM(4657,4664) = 4657¹ × 2³ × 11¹ × 53¹
LCM(4657,4664) = 21720248