What is the Least Common Multiple of 96147 and 96167?

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 96147 and 96167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96147 and 96167, than apply into the LCM equation.

GCF(96147,96167) = 1
LCM(96147,96167) = ( 96147 × 96167) / 1
LCM(96147,96167) = 9246168549 / 1
LCM(96147,96167) = 9246168549

Least Common Multiple (LCM) of 96147 and 96167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96147 and 96167. First we will calculate the prime factors of 96147 and 96167.

Prime Factorization of 96147

Prime Factorization of 96167

Now multiplying the highest exponent prime factors to calculate the LCM of 96147 and 96167.

LCM(96147,96167) = 3⁴ × 1187¹ × 96167¹
LCM(96147,96167) = 9246168549