What is the Least Common Multiple of 96657 and 96668?

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 96657 and 96668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96657 and 96668, than apply into the LCM equation.

GCF(96657,96668) = 11
LCM(96657,96668) = ( 96657 × 96668) / 11
LCM(96657,96668) = 9343638876 / 11
LCM(96657,96668) = 849421716

Least Common Multiple (LCM) of 96657 and 96668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96657 and 96668. First we will calculate the prime factors of 96657 and 96668.

Prime Factorization of 96657

Prime Factorization of 96668

Now multiplying the highest exponent prime factors to calculate the LCM of 96657 and 96668.

LCM(96657,96668) = 3¹ × 11¹ × 29¹ × 101¹ × 2² × 13³
LCM(96657,96668) = 849421716