What is the Least Common Multiple of 98744 and 98763?

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 98744 and 98763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98744 and 98763, than apply into the LCM equation.

GCF(98744,98763) = 1
LCM(98744,98763) = ( 98744 × 98763) / 1
LCM(98744,98763) = 9752253672 / 1
LCM(98744,98763) = 9752253672

Least Common Multiple (LCM) of 98744 and 98763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98744 and 98763. First we will calculate the prime factors of 98744 and 98763.

Prime Factorization of 98744

Prime Factorization of 98763

Now multiplying the highest exponent prime factors to calculate the LCM of 98744 and 98763.

LCM(98744,98763) = 2³ × 12343¹ × 3¹ × 7¹ × 4703¹
LCM(98744,98763) = 9752253672