What is the Least Common Multiple of 72612 and 72629?

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 72612 and 72629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72612 and 72629, than apply into the LCM equation.

GCF(72612,72629) = 1
LCM(72612,72629) = ( 72612 × 72629) / 1
LCM(72612,72629) = 5273736948 / 1
LCM(72612,72629) = 5273736948

Least Common Multiple (LCM) of 72612 and 72629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72612 and 72629. First we will calculate the prime factors of 72612 and 72629.

Prime Factorization of 72612

Prime Factorization of 72629

Now multiplying the highest exponent prime factors to calculate the LCM of 72612 and 72629.

LCM(72612,72629) = 2² × 3² × 2017¹ × 59¹ × 1231¹
LCM(72612,72629) = 5273736948