What is the Least Common Multiple of 96516 and 96531?

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 96516 and 96531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96516 and 96531, than apply into the LCM equation.

GCF(96516,96531) = 3
LCM(96516,96531) = ( 96516 × 96531) / 3
LCM(96516,96531) = 9316785996 / 3
LCM(96516,96531) = 3105595332

Least Common Multiple (LCM) of 96516 and 96531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96516 and 96531. First we will calculate the prime factors of 96516 and 96531.

Prime Factorization of 96516

Prime Factorization of 96531

Now multiplying the highest exponent prime factors to calculate the LCM of 96516 and 96531.

LCM(96516,96531) = 2² × 3² × 7¹ × 383¹ × 23¹ × 1399¹
LCM(96516,96531) = 3105595332