What is the Least Common Multiple of 45658 and 45664?

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 45658 and 45664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45658 and 45664, than apply into the LCM equation.

GCF(45658,45664) = 2
LCM(45658,45664) = ( 45658 × 45664) / 2
LCM(45658,45664) = 2084926912 / 2
LCM(45658,45664) = 1042463456

Least Common Multiple (LCM) of 45658 and 45664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45658 and 45664. First we will calculate the prime factors of 45658 and 45664.

Prime Factorization of 45658

Prime Factorization of 45664

Now multiplying the highest exponent prime factors to calculate the LCM of 45658 and 45664.

LCM(45658,45664) = 2⁵ × 37¹ × 617¹ × 1427¹
LCM(45658,45664) = 1042463456