What is the Least Common Multiple of 39096 and 39111?

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 39111 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 39111, than apply into the LCM equation.

GCF(39096,39111) = 3
LCM(39096,39111) = ( 39096 × 39111) / 3
LCM(39096,39111) = 1529083656 / 3
LCM(39096,39111) = 509694552

Least Common Multiple (LCM) of 39096 and 39111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39096 and 39111. First we will calculate the prime factors of 39096 and 39111.

Prime Factorization of 39096

Prime Factorization of 39111

Now multiplying the highest exponent prime factors to calculate the LCM of 39096 and 39111.

LCM(39096,39111) = 2³ × 3³ × 181¹ × 13037¹
LCM(39096,39111) = 509694552