What is the Least Common Multiple of 96189 and 96201?

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 96189 and 96201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96189 and 96201, than apply into the LCM equation.

GCF(96189,96201) = 3
LCM(96189,96201) = ( 96189 × 96201) / 3
LCM(96189,96201) = 9253477989 / 3
LCM(96189,96201) = 3084492663

Least Common Multiple (LCM) of 96189 and 96201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96189 and 96201. First we will calculate the prime factors of 96189 and 96201.

Prime Factorization of 96189

Prime Factorization of 96201

Now multiplying the highest exponent prime factors to calculate the LCM of 96189 and 96201.

LCM(96189,96201) = 3³ × 32063¹ × 7¹ × 509¹
LCM(96189,96201) = 3084492663