What is the Least Common Multiple of 96366 and 96378?

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 96366 and 96378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96366 and 96378, than apply into the LCM equation.

GCF(96366,96378) = 6
LCM(96366,96378) = ( 96366 × 96378) / 6
LCM(96366,96378) = 9287562348 / 6
LCM(96366,96378) = 1547927058

Least Common Multiple (LCM) of 96366 and 96378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96366 and 96378. First we will calculate the prime factors of 96366 and 96378.

Prime Factorization of 96366

Prime Factorization of 96378

Now multiplying the highest exponent prime factors to calculate the LCM of 96366 and 96378.

LCM(96366,96378) = 2¹ × 3¹ × 16061¹ × 16063¹
LCM(96366,96378) = 1547927058