What is the Least Common Multiple of 99976 and 99996?

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 99976 and 99996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99976 and 99996, than apply into the LCM equation.

GCF(99976,99996) = 4
LCM(99976,99996) = ( 99976 × 99996) / 4
LCM(99976,99996) = 9997200096 / 4
LCM(99976,99996) = 2499300024

Least Common Multiple (LCM) of 99976 and 99996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99976 and 99996. First we will calculate the prime factors of 99976 and 99996.

Prime Factorization of 99976

Prime Factorization of 99996

Now multiplying the highest exponent prime factors to calculate the LCM of 99976 and 99996.

LCM(99976,99996) = 2³ × 12497¹ × 3¹ × 13¹ × 641¹
LCM(99976,99996) = 2499300024