What is the Least Common Multiple of 98175 and 98190?

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 98190 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 98190, than apply into the LCM equation.

GCF(98175,98190) = 15
LCM(98175,98190) = ( 98175 × 98190) / 15
LCM(98175,98190) = 9639803250 / 15
LCM(98175,98190) = 642653550

Least Common Multiple (LCM) of 98175 and 98190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98175 and 98190. First we will calculate the prime factors of 98175 and 98190.

Prime Factorization of 98175

Prime Factorization of 98190

Now multiplying the highest exponent prime factors to calculate the LCM of 98175 and 98190.

LCM(98175,98190) = 3² × 5² × 7¹ × 11¹ × 17¹ × 2¹ × 1091¹
LCM(98175,98190) = 642653550