What is the Least Common Multiple of 98109 and 98113?

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 98109 and 98113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98109 and 98113, than apply into the LCM equation.

GCF(98109,98113) = 1
LCM(98109,98113) = ( 98109 × 98113) / 1
LCM(98109,98113) = 9625768317 / 1
LCM(98109,98113) = 9625768317

Least Common Multiple (LCM) of 98109 and 98113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98109 and 98113. First we will calculate the prime factors of 98109 and 98113.

Prime Factorization of 98109

Prime Factorization of 98113

Now multiplying the highest exponent prime factors to calculate the LCM of 98109 and 98113.

LCM(98109,98113) = 3² × 11¹ × 991¹ × 41¹ × 2393¹
LCM(98109,98113) = 9625768317