What is the Least Common Multiple of 99580 and 99595?

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 99580 and 99595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99580 and 99595, than apply into the LCM equation.

GCF(99580,99595) = 5
LCM(99580,99595) = ( 99580 × 99595) / 5
LCM(99580,99595) = 9917670100 / 5
LCM(99580,99595) = 1983534020

Least Common Multiple (LCM) of 99580 and 99595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99580 and 99595. First we will calculate the prime factors of 99580 and 99595.

Prime Factorization of 99580

Prime Factorization of 99595

Now multiplying the highest exponent prime factors to calculate the LCM of 99580 and 99595.

LCM(99580,99595) = 2² × 5¹ × 13¹ × 383¹ × 19919¹
LCM(99580,99595) = 1983534020