What is the Least Common Multiple of 96639 and 96651?

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 96639 and 96651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96639 and 96651, than apply into the LCM equation.

GCF(96639,96651) = 3
LCM(96639,96651) = ( 96639 × 96651) / 3
LCM(96639,96651) = 9340255989 / 3
LCM(96639,96651) = 3113418663

Least Common Multiple (LCM) of 96639 and 96651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96639 and 96651. First we will calculate the prime factors of 96639 and 96651.

Prime Factorization of 96639

Prime Factorization of 96651

Now multiplying the highest exponent prime factors to calculate the LCM of 96639 and 96651.

LCM(96639,96651) = 3² × 32213¹ × 10739¹
LCM(96639,96651) = 3113418663