What is the Least Common Multiple of 99552 and 99568?

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 99552 and 99568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99552 and 99568, than apply into the LCM equation.

GCF(99552,99568) = 16
LCM(99552,99568) = ( 99552 × 99568) / 16
LCM(99552,99568) = 9912193536 / 16
LCM(99552,99568) = 619512096

Least Common Multiple (LCM) of 99552 and 99568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99552 and 99568. First we will calculate the prime factors of 99552 and 99568.

Prime Factorization of 99552

Prime Factorization of 99568

Now multiplying the highest exponent prime factors to calculate the LCM of 99552 and 99568.

LCM(99552,99568) = 2⁵ × 3¹ × 17¹ × 61¹ × 7² × 127¹
LCM(99552,99568) = 619512096