What is the Least Common Multiple of 96180 and 96195?

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 96180 and 96195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96180 and 96195, than apply into the LCM equation.

GCF(96180,96195) = 15
LCM(96180,96195) = ( 96180 × 96195) / 15
LCM(96180,96195) = 9252035100 / 15
LCM(96180,96195) = 616802340

Least Common Multiple (LCM) of 96180 and 96195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96180 and 96195. First we will calculate the prime factors of 96180 and 96195.

Prime Factorization of 96180

Prime Factorization of 96195

Now multiplying the highest exponent prime factors to calculate the LCM of 96180 and 96195.

LCM(96180,96195) = 2² × 3¹ × 5¹ × 7¹ × 229¹ × 11² × 53¹
LCM(96180,96195) = 616802340