What is the Least Common Multiple of 13564 and 13572?

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 13564 and 13572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13564 and 13572, than apply into the LCM equation.

GCF(13564,13572) = 4
LCM(13564,13572) = ( 13564 × 13572) / 4
LCM(13564,13572) = 184090608 / 4
LCM(13564,13572) = 46022652

Least Common Multiple (LCM) of 13564 and 13572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13564 and 13572. First we will calculate the prime factors of 13564 and 13572.

Prime Factorization of 13564

Prime Factorization of 13572

Now multiplying the highest exponent prime factors to calculate the LCM of 13564 and 13572.

LCM(13564,13572) = 2² × 3391¹ × 3² × 13¹ × 29¹
LCM(13564,13572) = 46022652