What is the Least Common Multiple of 99936 and 99942?

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 99942 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 99942, than apply into the LCM equation.

GCF(99936,99942) = 6
LCM(99936,99942) = ( 99936 × 99942) / 6
LCM(99936,99942) = 9987803712 / 6
LCM(99936,99942) = 1664633952

Least Common Multiple (LCM) of 99936 and 99942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99936 and 99942. First we will calculate the prime factors of 99936 and 99942.

Prime Factorization of 99936

Prime Factorization of 99942

Now multiplying the highest exponent prime factors to calculate the LCM of 99936 and 99942.

LCM(99936,99942) = 2⁵ × 3² × 347¹ × 16657¹
LCM(99936,99942) = 1664633952