What is the Least Common Multiple of 99175 and 99183?

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 99175 and 99183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99175 and 99183, than apply into the LCM equation.

GCF(99175,99183) = 1
LCM(99175,99183) = ( 99175 × 99183) / 1
LCM(99175,99183) = 9836474025 / 1
LCM(99175,99183) = 9836474025

Least Common Multiple (LCM) of 99175 and 99183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99175 and 99183. First we will calculate the prime factors of 99175 and 99183.

Prime Factorization of 99175

Prime Factorization of 99183

Now multiplying the highest exponent prime factors to calculate the LCM of 99175 and 99183.

LCM(99175,99183) = 5² × 3967¹ × 3¹ × 7¹ × 4723¹
LCM(99175,99183) = 9836474025