What is the Least Common Multiple of 99180 and 99185?

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 99180 and 99185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99180 and 99185, than apply into the LCM equation.

GCF(99180,99185) = 5
LCM(99180,99185) = ( 99180 × 99185) / 5
LCM(99180,99185) = 9837168300 / 5
LCM(99180,99185) = 1967433660

Least Common Multiple (LCM) of 99180 and 99185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99180 and 99185. First we will calculate the prime factors of 99180 and 99185.

Prime Factorization of 99180

Prime Factorization of 99185

Now multiplying the highest exponent prime factors to calculate the LCM of 99180 and 99185.

LCM(99180,99185) = 2² × 3² × 5¹ × 19¹ × 29¹ × 83¹ × 239¹
LCM(99180,99185) = 1967433660