What is the Least Common Multiple of 39135 and 39153?

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 39153 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 39153, than apply into the LCM equation.

GCF(39135,39153) = 3
LCM(39135,39153) = ( 39135 × 39153) / 3
LCM(39135,39153) = 1532252655 / 3
LCM(39135,39153) = 510750885

Least Common Multiple (LCM) of 39135 and 39153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39135 and 39153. First we will calculate the prime factors of 39135 and 39153.

Prime Factorization of 39135

Prime Factorization of 39153

Now multiplying the highest exponent prime factors to calculate the LCM of 39135 and 39153.

LCM(39135,39153) = 3¹ × 5¹ × 2609¹ × 31¹ × 421¹
LCM(39135,39153) = 510750885