What is the Least Common Multiple of 45612 and 45629?

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 45629 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 45629, than apply into the LCM equation.

GCF(45612,45629) = 1
LCM(45612,45629) = ( 45612 × 45629) / 1
LCM(45612,45629) = 2081229948 / 1
LCM(45612,45629) = 2081229948

Least Common Multiple (LCM) of 45612 and 45629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45612 and 45629. First we will calculate the prime factors of 45612 and 45629.

Prime Factorization of 45612

Prime Factorization of 45629

Now multiplying the highest exponent prime factors to calculate the LCM of 45612 and 45629.

LCM(45612,45629) = 2² × 3² × 7¹ × 181¹ × 103¹ × 443¹
LCM(45612,45629) = 2081229948