What is the Least Common Multiple of 98180 and 98185?

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 98180 and 98185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98180 and 98185, than apply into the LCM equation.

GCF(98180,98185) = 5
LCM(98180,98185) = ( 98180 × 98185) / 5
LCM(98180,98185) = 9639803300 / 5
LCM(98180,98185) = 1927960660

Least Common Multiple (LCM) of 98180 and 98185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98180 and 98185. First we will calculate the prime factors of 98180 and 98185.

Prime Factorization of 98180

Prime Factorization of 98185

Now multiplying the highest exponent prime factors to calculate the LCM of 98180 and 98185.

LCM(98180,98185) = 2² × 5¹ × 4909¹ × 73¹ × 269¹
LCM(98180,98185) = 1927960660