What is the Least Common Multiple of 45512 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 45512 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 45512 and 45520, than apply into the LCM equation.

GCF(45512,45520) = 8
LCM(45512,45520) = ( 45512 × 45520) / 8
LCM(45512,45520) = 2071706240 / 8
LCM(45512,45520) = 258963280

Least Common Multiple (LCM) of 45512 and 45520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45512 and 45520. First we will calculate the prime factors of 45512 and 45520.

Prime Factorization of 45512

Prime Factorization of 45520

Now multiplying the highest exponent prime factors to calculate the LCM of 45512 and 45520.

LCM(45512,45520) = 2⁴ × 5689¹ × 5¹ × 569¹
LCM(45512,45520) = 258963280