What is the Least Common Multiple of 12609 and 12629?

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 12629 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 12629, than apply into the LCM equation.

GCF(12609,12629) = 1
LCM(12609,12629) = ( 12609 × 12629) / 1
LCM(12609,12629) = 159239061 / 1
LCM(12609,12629) = 159239061

Least Common Multiple (LCM) of 12609 and 12629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12609 and 12629. First we will calculate the prime factors of 12609 and 12629.

Prime Factorization of 12609

Prime Factorization of 12629

Now multiplying the highest exponent prime factors to calculate the LCM of 12609 and 12629.

LCM(12609,12629) = 3³ × 467¹ × 73¹ × 173¹
LCM(12609,12629) = 159239061