What is the Least Common Multiple of 39048 and 39057?

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 39048 and 39057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39048 and 39057, than apply into the LCM equation.

GCF(39048,39057) = 3
LCM(39048,39057) = ( 39048 × 39057) / 3
LCM(39048,39057) = 1525097736 / 3
LCM(39048,39057) = 508365912

Least Common Multiple (LCM) of 39048 and 39057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39048 and 39057. First we will calculate the prime factors of 39048 and 39057.

Prime Factorization of 39048

Prime Factorization of 39057

Now multiplying the highest exponent prime factors to calculate the LCM of 39048 and 39057.

LCM(39048,39057) = 2³ × 3¹ × 1627¹ × 47¹ × 277¹
LCM(39048,39057) = 508365912