What is the Least Common Multiple of 39612 and 39629?

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 39612 and 39629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39612 and 39629, than apply into the LCM equation.

GCF(39612,39629) = 1
LCM(39612,39629) = ( 39612 × 39629) / 1
LCM(39612,39629) = 1569783948 / 1
LCM(39612,39629) = 1569783948

Least Common Multiple (LCM) of 39612 and 39629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39612 and 39629. First we will calculate the prime factors of 39612 and 39629.

Prime Factorization of 39612

Prime Factorization of 39629

Now multiplying the highest exponent prime factors to calculate the LCM of 39612 and 39629.

LCM(39612,39629) = 2² × 3¹ × 3301¹ × 23¹ × 1723¹
LCM(39612,39629) = 1569783948