What is the Least Common Multiple of 98735 and 98745?

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 98735 and 98745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98735 and 98745, than apply into the LCM equation.

GCF(98735,98745) = 5
LCM(98735,98745) = ( 98735 × 98745) / 5
LCM(98735,98745) = 9749587575 / 5
LCM(98735,98745) = 1949917515

Least Common Multiple (LCM) of 98735 and 98745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98735 and 98745. First we will calculate the prime factors of 98735 and 98745.

Prime Factorization of 98735

Prime Factorization of 98745

Now multiplying the highest exponent prime factors to calculate the LCM of 98735 and 98745.

LCM(98735,98745) = 5¹ × 7² × 13¹ × 31¹ × 3¹ × 29¹ × 227¹
LCM(98735,98745) = 1949917515