What is the Least Common Multiple of 45516 and 45520?

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 45516 and 45520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45516 and 45520, than apply into the LCM equation.

GCF(45516,45520) = 4
LCM(45516,45520) = ( 45516 × 45520) / 4
LCM(45516,45520) = 2071888320 / 4
LCM(45516,45520) = 517972080

Least Common Multiple (LCM) of 45516 and 45520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45516 and 45520. First we will calculate the prime factors of 45516 and 45520.

Prime Factorization of 45516

Prime Factorization of 45520

Now multiplying the highest exponent prime factors to calculate the LCM of 45516 and 45520.

LCM(45516,45520) = 2⁴ × 3¹ × 3793¹ × 5¹ × 569¹
LCM(45516,45520) = 517972080