What is the Least Common Multiple of 96744 and 96756?

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 96744 and 96756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96744 and 96756, than apply into the LCM equation.

GCF(96744,96756) = 12
LCM(96744,96756) = ( 96744 × 96756) / 12
LCM(96744,96756) = 9360562464 / 12
LCM(96744,96756) = 780046872

Least Common Multiple (LCM) of 96744 and 96756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96744 and 96756. First we will calculate the prime factors of 96744 and 96756.

Prime Factorization of 96744

Prime Factorization of 96756

Now multiplying the highest exponent prime factors to calculate the LCM of 96744 and 96756.

LCM(96744,96756) = 2³ × 3¹ × 29¹ × 139¹ × 11¹ × 733¹
LCM(96744,96756) = 780046872