What is the Least Common Multiple of 96774 and 96792?

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 96774 and 96792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96774 and 96792, than apply into the LCM equation.

GCF(96774,96792) = 6
LCM(96774,96792) = ( 96774 × 96792) / 6
LCM(96774,96792) = 9366949008 / 6
LCM(96774,96792) = 1561158168

Least Common Multiple (LCM) of 96774 and 96792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96774 and 96792. First we will calculate the prime factors of 96774 and 96792.

Prime Factorization of 96774

Prime Factorization of 96792

Now multiplying the highest exponent prime factors to calculate the LCM of 96774 and 96792.

LCM(96774,96792) = 2³ × 3¹ × 127² × 37¹ × 109¹
LCM(96774,96792) = 1561158168