What is the Least Common Multiple of 96057 and 96071?

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 96057 and 96071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96057 and 96071, than apply into the LCM equation.

GCF(96057,96071) = 1
LCM(96057,96071) = ( 96057 × 96071) / 1
LCM(96057,96071) = 9228292047 / 1
LCM(96057,96071) = 9228292047

Least Common Multiple (LCM) of 96057 and 96071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96057 and 96071. First we will calculate the prime factors of 96057 and 96071.

Prime Factorization of 96057

Prime Factorization of 96071

Now multiplying the highest exponent prime factors to calculate the LCM of 96057 and 96071.

LCM(96057,96071) = 3² × 13¹ × 821¹ × 23¹ × 4177¹
LCM(96057,96071) = 9228292047