What is the Least Common Multiple of 39135 and 39144?

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 39135 and 39144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39135 and 39144, than apply into the LCM equation.

GCF(39135,39144) = 3
LCM(39135,39144) = ( 39135 × 39144) / 3
LCM(39135,39144) = 1531900440 / 3
LCM(39135,39144) = 510633480

Least Common Multiple (LCM) of 39135 and 39144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39135 and 39144. First we will calculate the prime factors of 39135 and 39144.

Prime Factorization of 39135

Prime Factorization of 39144

Now multiplying the highest exponent prime factors to calculate the LCM of 39135 and 39144.

LCM(39135,39144) = 3¹ × 5¹ × 2609¹ × 2³ × 7¹ × 233¹
LCM(39135,39144) = 510633480