What is the Least Common Multiple of 99355 and 99375?

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 99355 and 99375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99355 and 99375, than apply into the LCM equation.

GCF(99355,99375) = 5
LCM(99355,99375) = ( 99355 × 99375) / 5
LCM(99355,99375) = 9873403125 / 5
LCM(99355,99375) = 1974680625

Least Common Multiple (LCM) of 99355 and 99375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99355 and 99375. First we will calculate the prime factors of 99355 and 99375.

Prime Factorization of 99355

Prime Factorization of 99375

Now multiplying the highest exponent prime factors to calculate the LCM of 99355 and 99375.

LCM(99355,99375) = 5⁴ × 31¹ × 641¹ × 3¹ × 53¹
LCM(99355,99375) = 1974680625