What is the Least Common Multiple of 98175 and 98180?

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 98175 and 98180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98175 and 98180, than apply into the LCM equation.

GCF(98175,98180) = 5
LCM(98175,98180) = ( 98175 × 98180) / 5
LCM(98175,98180) = 9638821500 / 5
LCM(98175,98180) = 1927764300

Least Common Multiple (LCM) of 98175 and 98180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98175 and 98180. First we will calculate the prime factors of 98175 and 98180.

Prime Factorization of 98175

Prime Factorization of 98180

Now multiplying the highest exponent prime factors to calculate the LCM of 98175 and 98180.

LCM(98175,98180) = 3¹ × 5² × 7¹ × 11¹ × 17¹ × 2² × 4909¹
LCM(98175,98180) = 1927764300