What is the Least Common Multiple of 99728 and 99747?

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 99728 and 99747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99728 and 99747, than apply into the LCM equation.

GCF(99728,99747) = 1
LCM(99728,99747) = ( 99728 × 99747) / 1
LCM(99728,99747) = 9947568816 / 1
LCM(99728,99747) = 9947568816

Least Common Multiple (LCM) of 99728 and 99747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99728 and 99747. First we will calculate the prime factors of 99728 and 99747.

Prime Factorization of 99728

Prime Factorization of 99747

Now multiplying the highest exponent prime factors to calculate the LCM of 99728 and 99747.

LCM(99728,99747) = 2⁴ × 23¹ × 271¹ × 3² × 11083¹
LCM(99728,99747) = 9947568816