What is the Least Common Multiple of 98746 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 98746 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 98746 and 98763, than apply into the LCM equation.

GCF(98746,98763) = 1
LCM(98746,98763) = ( 98746 × 98763) / 1
LCM(98746,98763) = 9752451198 / 1
LCM(98746,98763) = 9752451198

Least Common Multiple (LCM) of 98746 and 98763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98746 and 98763. First we will calculate the prime factors of 98746 and 98763.

Prime Factorization of 98746

Prime Factorization of 98763

Now multiplying the highest exponent prime factors to calculate the LCM of 98746 and 98763.

LCM(98746,98763) = 2¹ × 97¹ × 509¹ × 3¹ × 7¹ × 4703¹
LCM(98746,98763) = 9752451198