What is the Least Common Multiple of 96132 and 96147?

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 96132 and 96147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96132 and 96147, than apply into the LCM equation.

GCF(96132,96147) = 3
LCM(96132,96147) = ( 96132 × 96147) / 3
LCM(96132,96147) = 9242803404 / 3
LCM(96132,96147) = 3080934468

Least Common Multiple (LCM) of 96132 and 96147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96132 and 96147. First we will calculate the prime factors of 96132 and 96147.

Prime Factorization of 96132

Prime Factorization of 96147

Now multiplying the highest exponent prime factors to calculate the LCM of 96132 and 96147.

LCM(96132,96147) = 2² × 3⁴ × 8011¹ × 1187¹
LCM(96132,96147) = 3080934468