What is the Least Common Multiple of 99085 and 99100?

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 99085 and 99100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99085 and 99100, than apply into the LCM equation.

GCF(99085,99100) = 5
LCM(99085,99100) = ( 99085 × 99100) / 5
LCM(99085,99100) = 9819323500 / 5
LCM(99085,99100) = 1963864700

Least Common Multiple (LCM) of 99085 and 99100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99085 and 99100. First we will calculate the prime factors of 99085 and 99100.

Prime Factorization of 99085

Prime Factorization of 99100

Now multiplying the highest exponent prime factors to calculate the LCM of 99085 and 99100.

LCM(99085,99100) = 5² × 7¹ × 19¹ × 149¹ × 2² × 991¹
LCM(99085,99100) = 1963864700