What is the Least Common Multiple of 96696 and 96708?

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 96696 and 96708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96696 and 96708, than apply into the LCM equation.

GCF(96696,96708) = 12
LCM(96696,96708) = ( 96696 × 96708) / 12
LCM(96696,96708) = 9351276768 / 12
LCM(96696,96708) = 779273064

Least Common Multiple (LCM) of 96696 and 96708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96696 and 96708. First we will calculate the prime factors of 96696 and 96708.

Prime Factorization of 96696

Prime Factorization of 96708

Now multiplying the highest exponent prime factors to calculate the LCM of 96696 and 96708.

LCM(96696,96708) = 2³ × 3² × 17¹ × 79¹ × 8059¹
LCM(96696,96708) = 779273064