What is the Least Common Multiple of 98219 and 98231?

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 98219 and 98231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98219 and 98231, than apply into the LCM equation.

GCF(98219,98231) = 1
LCM(98219,98231) = ( 98219 × 98231) / 1
LCM(98219,98231) = 9648150589 / 1
LCM(98219,98231) = 9648150589

Least Common Multiple (LCM) of 98219 and 98231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98219 and 98231. First we will calculate the prime factors of 98219 and 98231.

Prime Factorization of 98219

Prime Factorization of 98231

Now multiplying the highest exponent prime factors to calculate the LCM of 98219 and 98231.

LCM(98219,98231) = 11¹ × 8929¹ × 7¹ × 14033¹
LCM(98219,98231) = 9648150589