What is the Least Common Multiple of 45612 and 45619?

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 45612 and 45619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45612 and 45619, than apply into the LCM equation.

GCF(45612,45619) = 7
LCM(45612,45619) = ( 45612 × 45619) / 7
LCM(45612,45619) = 2080773828 / 7
LCM(45612,45619) = 297253404

Least Common Multiple (LCM) of 45612 and 45619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45612 and 45619. First we will calculate the prime factors of 45612 and 45619.

Prime Factorization of 45612

Prime Factorization of 45619

Now multiplying the highest exponent prime factors to calculate the LCM of 45612 and 45619.

LCM(45612,45619) = 2² × 3² × 7⁴ × 181¹ × 19¹
LCM(45612,45619) = 297253404