What is the Least Common Multiple of 99726 and 99746?

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 99726 and 99746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99726 and 99746, than apply into the LCM equation.

GCF(99726,99746) = 2
LCM(99726,99746) = ( 99726 × 99746) / 2
LCM(99726,99746) = 9947269596 / 2
LCM(99726,99746) = 4973634798

Least Common Multiple (LCM) of 99726 and 99746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99726 and 99746. First we will calculate the prime factors of 99726 and 99746.

Prime Factorization of 99726

Prime Factorization of 99746

Now multiplying the highest exponent prime factors to calculate the LCM of 99726 and 99746.

LCM(99726,99746) = 2¹ × 3¹ × 11¹ × 1511¹ × 53¹ × 941¹
LCM(99726,99746) = 4973634798