What is the Least Common Multiple of 99312 and 99328?

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 99328 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 99328, than apply into the LCM equation.

GCF(99312,99328) = 16
LCM(99312,99328) = ( 99312 × 99328) / 16
LCM(99312,99328) = 9864462336 / 16
LCM(99312,99328) = 616528896

Least Common Multiple (LCM) of 99312 and 99328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99312 and 99328. First we will calculate the prime factors of 99312 and 99328.

Prime Factorization of 99312

Prime Factorization of 99328

Now multiplying the highest exponent prime factors to calculate the LCM of 99312 and 99328.

LCM(99312,99328) = 2¹⁰ × 3¹ × 2069¹ × 97¹
LCM(99312,99328) = 616528896