What is the Least Common Multiple of 12609 and 12624?

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 12609 and 12624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12609 and 12624, than apply into the LCM equation.

GCF(12609,12624) = 3
LCM(12609,12624) = ( 12609 × 12624) / 3
LCM(12609,12624) = 159176016 / 3
LCM(12609,12624) = 53058672

Least Common Multiple (LCM) of 12609 and 12624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12609 and 12624. First we will calculate the prime factors of 12609 and 12624.

Prime Factorization of 12609

Prime Factorization of 12624

Now multiplying the highest exponent prime factors to calculate the LCM of 12609 and 12624.

LCM(12609,12624) = 3³ × 467¹ × 2⁴ × 263¹
LCM(12609,12624) = 53058672