What is the Least Common Multiple of 96657 and 96672?

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 96672 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 96672, than apply into the LCM equation.

GCF(96657,96672) = 3
LCM(96657,96672) = ( 96657 × 96672) / 3
LCM(96657,96672) = 9344025504 / 3
LCM(96657,96672) = 3114675168

Least Common Multiple (LCM) of 96657 and 96672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96657 and 96672. First we will calculate the prime factors of 96657 and 96672.

Prime Factorization of 96657

Prime Factorization of 96672

Now multiplying the highest exponent prime factors to calculate the LCM of 96657 and 96672.

LCM(96657,96672) = 3¹ × 11¹ × 29¹ × 101¹ × 2⁵ × 19¹ × 53¹
LCM(96657,96672) = 3114675168