What is the Least Common Multiple of 40659 and 40664?

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 40659 and 40664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40659 and 40664, than apply into the LCM equation.

GCF(40659,40664) = 1
LCM(40659,40664) = ( 40659 × 40664) / 1
LCM(40659,40664) = 1653357576 / 1
LCM(40659,40664) = 1653357576

Least Common Multiple (LCM) of 40659 and 40664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40659 and 40664. First we will calculate the prime factors of 40659 and 40664.

Prime Factorization of 40659

Prime Factorization of 40664

Now multiplying the highest exponent prime factors to calculate the LCM of 40659 and 40664.

LCM(40659,40664) = 3¹ × 13553¹ × 2³ × 13¹ × 17¹ × 23¹
LCM(40659,40664) = 1653357576