What is the Least Common Multiple of 51612 and 51629?

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 51612 and 51629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51612 and 51629, than apply into the LCM equation.

GCF(51612,51629) = 17
LCM(51612,51629) = ( 51612 × 51629) / 17
LCM(51612,51629) = 2664675948 / 17
LCM(51612,51629) = 156745644

Least Common Multiple (LCM) of 51612 and 51629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51612 and 51629. First we will calculate the prime factors of 51612 and 51629.

Prime Factorization of 51612

Prime Factorization of 51629

Now multiplying the highest exponent prime factors to calculate the LCM of 51612 and 51629.

LCM(51612,51629) = 2² × 3¹ × 11¹ × 17¹ × 23¹ × 3037¹
LCM(51612,51629) = 156745644