What is the Least Common Multiple of 99957 and 99975?

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 99957 and 99975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99957 and 99975, than apply into the LCM equation.

GCF(99957,99975) = 3
LCM(99957,99975) = ( 99957 × 99975) / 3
LCM(99957,99975) = 9993201075 / 3
LCM(99957,99975) = 3331067025

Least Common Multiple (LCM) of 99957 and 99975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99957 and 99975. First we will calculate the prime factors of 99957 and 99975.

Prime Factorization of 99957

Prime Factorization of 99975

Now multiplying the highest exponent prime factors to calculate the LCM of 99957 and 99975.

LCM(99957,99975) = 3¹ × 11¹ × 13¹ × 233¹ × 5² × 31¹ × 43¹
LCM(99957,99975) = 3331067025