What is the Least Common Multiple of 45056 and 45069?

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 45056 and 45069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45056 and 45069, than apply into the LCM equation.

GCF(45056,45069) = 1
LCM(45056,45069) = ( 45056 × 45069) / 1
LCM(45056,45069) = 2030628864 / 1
LCM(45056,45069) = 2030628864

Least Common Multiple (LCM) of 45056 and 45069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45056 and 45069. First we will calculate the prime factors of 45056 and 45069.

Prime Factorization of 45056

Prime Factorization of 45069

Now multiplying the highest exponent prime factors to calculate the LCM of 45056 and 45069.

LCM(45056,45069) = 2¹² × 11¹ × 3¹ × 83¹ × 181¹
LCM(45056,45069) = 2030628864