What is the Least Common Multiple of 99737 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 99737 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 99737 and 99747, than apply into the LCM equation.

GCF(99737,99747) = 1
LCM(99737,99747) = ( 99737 × 99747) / 1
LCM(99737,99747) = 9948466539 / 1
LCM(99737,99747) = 9948466539

Least Common Multiple (LCM) of 99737 and 99747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99737 and 99747. First we will calculate the prime factors of 99737 and 99747.

Prime Factorization of 99737

Prime Factorization of 99747

Now multiplying the highest exponent prime factors to calculate the LCM of 99737 and 99747.

LCM(99737,99747) = 11¹ × 9067¹ × 3² × 11083¹
LCM(99737,99747) = 9948466539