What is the Least Common Multiple of 96180 and 96185?

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 96185 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 96185, than apply into the LCM equation.

GCF(96180,96185) = 5
LCM(96180,96185) = ( 96180 × 96185) / 5
LCM(96180,96185) = 9251073300 / 5
LCM(96180,96185) = 1850214660

Least Common Multiple (LCM) of 96180 and 96185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96180 and 96185. First we will calculate the prime factors of 96180 and 96185.

Prime Factorization of 96180

Prime Factorization of 96185

Now multiplying the highest exponent prime factors to calculate the LCM of 96180 and 96185.

LCM(96180,96185) = 2² × 3¹ × 5¹ × 7¹ × 229¹ × 19237¹
LCM(96180,96185) = 1850214660