What is the Least Common Multiple of 99312 and 99329?

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 99312 and 99329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99312 and 99329, than apply into the LCM equation.

GCF(99312,99329) = 1
LCM(99312,99329) = ( 99312 × 99329) / 1
LCM(99312,99329) = 9864561648 / 1
LCM(99312,99329) = 9864561648

Least Common Multiple (LCM) of 99312 and 99329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99312 and 99329. First we will calculate the prime factors of 99312 and 99329.

Prime Factorization of 99312

Prime Factorization of 99329

Now multiplying the highest exponent prime factors to calculate the LCM of 99312 and 99329.

LCM(99312,99329) = 2⁴ × 3¹ × 2069¹ × 71¹ × 1399¹
LCM(99312,99329) = 9864561648