What is the Least Common Multiple of 12609 and 12622?

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 12622 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 12622, than apply into the LCM equation.

GCF(12609,12622) = 1
LCM(12609,12622) = ( 12609 × 12622) / 1
LCM(12609,12622) = 159150798 / 1
LCM(12609,12622) = 159150798

Least Common Multiple (LCM) of 12609 and 12622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12609 and 12622. First we will calculate the prime factors of 12609 and 12622.

Prime Factorization of 12609

Prime Factorization of 12622

Now multiplying the highest exponent prime factors to calculate the LCM of 12609 and 12622.

LCM(12609,12622) = 3³ × 467¹ × 2¹ × 6311¹
LCM(12609,12622) = 159150798