What is the Least Common Multiple of 99936 and 99952?

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 99936 and 99952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99936 and 99952, than apply into the LCM equation.

GCF(99936,99952) = 16
LCM(99936,99952) = ( 99936 × 99952) / 16
LCM(99936,99952) = 9988803072 / 16
LCM(99936,99952) = 624300192

Least Common Multiple (LCM) of 99936 and 99952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99936 and 99952. First we will calculate the prime factors of 99936 and 99952.

Prime Factorization of 99936

Prime Factorization of 99952

Now multiplying the highest exponent prime factors to calculate the LCM of 99936 and 99952.

LCM(99936,99952) = 2⁵ × 3² × 347¹ × 6247¹
LCM(99936,99952) = 624300192