What is the Least Common Multiple of 96648 and 96657?

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 96648 and 96657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96648 and 96657, than apply into the LCM equation.

GCF(96648,96657) = 3
LCM(96648,96657) = ( 96648 × 96657) / 3
LCM(96648,96657) = 9341705736 / 3
LCM(96648,96657) = 3113901912

Least Common Multiple (LCM) of 96648 and 96657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96648 and 96657. First we will calculate the prime factors of 96648 and 96657.

Prime Factorization of 96648

Prime Factorization of 96657

Now multiplying the highest exponent prime factors to calculate the LCM of 96648 and 96657.

LCM(96648,96657) = 2³ × 3¹ × 4027¹ × 11¹ × 29¹ × 101¹
LCM(96648,96657) = 3113901912