What is the Least Common Multiple of 15552 and 15572?

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 15552 and 15572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15552 and 15572, than apply into the LCM equation.

GCF(15552,15572) = 4
LCM(15552,15572) = ( 15552 × 15572) / 4
LCM(15552,15572) = 242175744 / 4
LCM(15552,15572) = 60543936

Least Common Multiple (LCM) of 15552 and 15572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15552 and 15572. First we will calculate the prime factors of 15552 and 15572.

Prime Factorization of 15552

Prime Factorization of 15572

Now multiplying the highest exponent prime factors to calculate the LCM of 15552 and 15572.

LCM(15552,15572) = 2⁶ × 3⁵ × 17¹ × 229¹
LCM(15552,15572) = 60543936