What is the Least Common Multiple of 45664 and 45674?

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 45664 and 45674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45664 and 45674, than apply into the LCM equation.

GCF(45664,45674) = 2
LCM(45664,45674) = ( 45664 × 45674) / 2
LCM(45664,45674) = 2085657536 / 2
LCM(45664,45674) = 1042828768

Least Common Multiple (LCM) of 45664 and 45674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45664 and 45674. First we will calculate the prime factors of 45664 and 45674.

Prime Factorization of 45664

Prime Factorization of 45674

Now multiplying the highest exponent prime factors to calculate the LCM of 45664 and 45674.

LCM(45664,45674) = 2⁵ × 1427¹ × 41¹ × 557¹
LCM(45664,45674) = 1042828768