What is the Least Common Multiple of 9180 and 9185?

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 9180 and 9185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9180 and 9185, than apply into the LCM equation.

GCF(9180,9185) = 5
LCM(9180,9185) = ( 9180 × 9185) / 5
LCM(9180,9185) = 84318300 / 5
LCM(9180,9185) = 16863660

Least Common Multiple (LCM) of 9180 and 9185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9180 and 9185. First we will calculate the prime factors of 9180 and 9185.

Prime Factorization of 9180

Prime Factorization of 9185

Now multiplying the highest exponent prime factors to calculate the LCM of 9180 and 9185.

LCM(9180,9185) = 2² × 3³ × 5¹ × 17¹ × 11¹ × 167¹
LCM(9180,9185) = 16863660