What is the Least Common Multiple of 45512 and 45528?

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 45512 and 45528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45512 and 45528, than apply into the LCM equation.

GCF(45512,45528) = 8
LCM(45512,45528) = ( 45512 × 45528) / 8
LCM(45512,45528) = 2072070336 / 8
LCM(45512,45528) = 259008792

Least Common Multiple (LCM) of 45512 and 45528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45512 and 45528. First we will calculate the prime factors of 45512 and 45528.

Prime Factorization of 45512

Prime Factorization of 45528

Now multiplying the highest exponent prime factors to calculate the LCM of 45512 and 45528.

LCM(45512,45528) = 2³ × 5689¹ × 3¹ × 7¹ × 271¹
LCM(45512,45528) = 259008792