What is the Least Common Multiple of 39036 and 39048?

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 39036 and 39048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39036 and 39048, than apply into the LCM equation.

GCF(39036,39048) = 12
LCM(39036,39048) = ( 39036 × 39048) / 12
LCM(39036,39048) = 1524277728 / 12
LCM(39036,39048) = 127023144

Least Common Multiple (LCM) of 39036 and 39048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39036 and 39048. First we will calculate the prime factors of 39036 and 39048.

Prime Factorization of 39036

Prime Factorization of 39048

Now multiplying the highest exponent prime factors to calculate the LCM of 39036 and 39048.

LCM(39036,39048) = 2³ × 3¹ × 3253¹ × 1627¹
LCM(39036,39048) = 127023144