What is the Least Common Multiple of 39609 and 39627?

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 39609 and 39627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39609 and 39627, than apply into the LCM equation.

GCF(39609,39627) = 9
LCM(39609,39627) = ( 39609 × 39627) / 9
LCM(39609,39627) = 1569585843 / 9
LCM(39609,39627) = 174398427

Least Common Multiple (LCM) of 39609 and 39627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39609 and 39627. First we will calculate the prime factors of 39609 and 39627.

Prime Factorization of 39609

Prime Factorization of 39627

Now multiplying the highest exponent prime factors to calculate the LCM of 39609 and 39627.

LCM(39609,39627) = 3⁵ × 163¹ × 7¹ × 17¹ × 37¹
LCM(39609,39627) = 174398427