What is the Least Common Multiple of 15552 and 15568?

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 15568 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 15568, than apply into the LCM equation.

GCF(15552,15568) = 16
LCM(15552,15568) = ( 15552 × 15568) / 16
LCM(15552,15568) = 242113536 / 16
LCM(15552,15568) = 15132096

Least Common Multiple (LCM) of 15552 and 15568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15552 and 15568. First we will calculate the prime factors of 15552 and 15568.

Prime Factorization of 15552

Prime Factorization of 15568

Now multiplying the highest exponent prime factors to calculate the LCM of 15552 and 15568.

LCM(15552,15568) = 2⁶ × 3⁵ × 7¹ × 139¹
LCM(15552,15568) = 15132096