What is the Least Common Multiple of 96696 and 96702?

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 96702 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 96702, than apply into the LCM equation.

GCF(96696,96702) = 6
LCM(96696,96702) = ( 96696 × 96702) / 6
LCM(96696,96702) = 9350696592 / 6
LCM(96696,96702) = 1558449432

Least Common Multiple (LCM) of 96696 and 96702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96696 and 96702. First we will calculate the prime factors of 96696 and 96702.

Prime Factorization of 96696

Prime Factorization of 96702

Now multiplying the highest exponent prime factors to calculate the LCM of 96696 and 96702.

LCM(96696,96702) = 2³ × 3² × 17¹ × 79¹ × 71¹ × 227¹
LCM(96696,96702) = 1558449432