What is the Least Common Multiple of 99100 and 99108?

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 99100 and 99108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99100 and 99108, than apply into the LCM equation.

GCF(99100,99108) = 4
LCM(99100,99108) = ( 99100 × 99108) / 4
LCM(99100,99108) = 9821602800 / 4
LCM(99100,99108) = 2455400700

Least Common Multiple (LCM) of 99100 and 99108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99100 and 99108. First we will calculate the prime factors of 99100 and 99108.

Prime Factorization of 99100

Prime Factorization of 99108

Now multiplying the highest exponent prime factors to calculate the LCM of 99100 and 99108.

LCM(99100,99108) = 2² × 5² × 991¹ × 3² × 2753¹
LCM(99100,99108) = 2455400700