What is the Least Common Multiple of 96312 and 96318?

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 96312 and 96318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96312 and 96318, than apply into the LCM equation.

GCF(96312,96318) = 6
LCM(96312,96318) = ( 96312 × 96318) / 6
LCM(96312,96318) = 9276579216 / 6
LCM(96312,96318) = 1546096536

Least Common Multiple (LCM) of 96312 and 96318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96312 and 96318. First we will calculate the prime factors of 96312 and 96318.

Prime Factorization of 96312

Prime Factorization of 96318

Now multiplying the highest exponent prime factors to calculate the LCM of 96312 and 96318.

LCM(96312,96318) = 2³ × 3² × 4013¹ × 5351¹
LCM(96312,96318) = 1546096536