What is the Least Common Multiple of 39609 and 39624?

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 39624 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 39624, than apply into the LCM equation.

GCF(39609,39624) = 3
LCM(39609,39624) = ( 39609 × 39624) / 3
LCM(39609,39624) = 1569467016 / 3
LCM(39609,39624) = 523155672

Least Common Multiple (LCM) of 39609 and 39624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39609 and 39624. First we will calculate the prime factors of 39609 and 39624.

Prime Factorization of 39609

Prime Factorization of 39624

Now multiplying the highest exponent prime factors to calculate the LCM of 39609 and 39624.

LCM(39609,39624) = 3⁵ × 163¹ × 2³ × 13¹ × 127¹
LCM(39609,39624) = 523155672