What is the Least Common Multiple of 39096 and 39102?

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 39096 and 39102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39096 and 39102, than apply into the LCM equation.

GCF(39096,39102) = 6
LCM(39096,39102) = ( 39096 × 39102) / 6
LCM(39096,39102) = 1528731792 / 6
LCM(39096,39102) = 254788632

Least Common Multiple (LCM) of 39096 and 39102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39096 and 39102. First we will calculate the prime factors of 39096 and 39102.

Prime Factorization of 39096

Prime Factorization of 39102

Now multiplying the highest exponent prime factors to calculate the LCM of 39096 and 39102.

LCM(39096,39102) = 2³ × 3³ × 181¹ × 7³ × 19¹
LCM(39096,39102) = 254788632