What is the Least Common Multiple of 39087 and 39099?

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 39087 and 39099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39087 and 39099, than apply into the LCM equation.

GCF(39087,39099) = 3
LCM(39087,39099) = ( 39087 × 39099) / 3
LCM(39087,39099) = 1528262613 / 3
LCM(39087,39099) = 509420871

Least Common Multiple (LCM) of 39087 and 39099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39087 and 39099. First we will calculate the prime factors of 39087 and 39099.

Prime Factorization of 39087

Prime Factorization of 39099

Now multiplying the highest exponent prime factors to calculate the LCM of 39087 and 39099.

LCM(39087,39099) = 3² × 43¹ × 101¹ × 13033¹
LCM(39087,39099) = 509420871