What is the Least Common Multiple of 96147 and 96159?

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 96159 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 96159, than apply into the LCM equation.

GCF(96147,96159) = 3
LCM(96147,96159) = ( 96147 × 96159) / 3
LCM(96147,96159) = 9245399373 / 3
LCM(96147,96159) = 3081799791

Least Common Multiple (LCM) of 96147 and 96159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96147 and 96159. First we will calculate the prime factors of 96147 and 96159.

Prime Factorization of 96147

Prime Factorization of 96159

Now multiplying the highest exponent prime factors to calculate the LCM of 96147 and 96159.

LCM(96147,96159) = 3⁴ × 1187¹ × 7¹ × 19¹ × 241¹
LCM(96147,96159) = 3081799791