What is the Least Common Multiple of 13623 and 13629?

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 13623 and 13629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13623 and 13629, than apply into the LCM equation.

GCF(13623,13629) = 3
LCM(13623,13629) = ( 13623 × 13629) / 3
LCM(13623,13629) = 185667867 / 3
LCM(13623,13629) = 61889289

Least Common Multiple (LCM) of 13623 and 13629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13623 and 13629. First we will calculate the prime factors of 13623 and 13629.

Prime Factorization of 13623

Prime Factorization of 13629

Now multiplying the highest exponent prime factors to calculate the LCM of 13623 and 13629.

LCM(13623,13629) = 3¹ × 19¹ × 239¹ × 7¹ × 11¹ × 59¹
LCM(13623,13629) = 61889289