What is the Least Common Multiple of 99100 and 99105?

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 99105 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 99105, than apply into the LCM equation.

GCF(99100,99105) = 5
LCM(99100,99105) = ( 99100 × 99105) / 5
LCM(99100,99105) = 9821305500 / 5
LCM(99100,99105) = 1964261100

Least Common Multiple (LCM) of 99100 and 99105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99100 and 99105. First we will calculate the prime factors of 99100 and 99105.

Prime Factorization of 99100

Prime Factorization of 99105

Now multiplying the highest exponent prime factors to calculate the LCM of 99100 and 99105.

LCM(99100,99105) = 2² × 5² × 991¹ × 3¹ × 6607¹
LCM(99100,99105) = 1964261100