What is the Least Common Multiple of 98714 and 98734?

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 98714 and 98734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98714 and 98734, than apply into the LCM equation.

GCF(98714,98734) = 2
LCM(98714,98734) = ( 98714 × 98734) / 2
LCM(98714,98734) = 9746428076 / 2
LCM(98714,98734) = 4873214038

Least Common Multiple (LCM) of 98714 and 98734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98714 and 98734. First we will calculate the prime factors of 98714 and 98734.

Prime Factorization of 98714

Prime Factorization of 98734

Now multiplying the highest exponent prime factors to calculate the LCM of 98714 and 98734.

LCM(98714,98734) = 2¹ × 7¹ × 11¹ × 641¹ × 49367¹
LCM(98714,98734) = 4873214038