What is the Least Common Multiple of 98717 and 98735?

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 98717 and 98735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98717 and 98735, than apply into the LCM equation.

GCF(98717,98735) = 1
LCM(98717,98735) = ( 98717 × 98735) / 1
LCM(98717,98735) = 9746822995 / 1
LCM(98717,98735) = 9746822995

Least Common Multiple (LCM) of 98717 and 98735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98717 and 98735. First we will calculate the prime factors of 98717 and 98735.

Prime Factorization of 98717

Prime Factorization of 98735

Now multiplying the highest exponent prime factors to calculate the LCM of 98717 and 98735.

LCM(98717,98735) = 98717¹ × 5¹ × 7² × 13¹ × 31¹
LCM(98717,98735) = 9746822995