What is the Least Common Multiple of 99723 and 99733?

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 99723 and 99733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99723 and 99733, than apply into the LCM equation.

GCF(99723,99733) = 1
LCM(99723,99733) = ( 99723 × 99733) / 1
LCM(99723,99733) = 9945673959 / 1
LCM(99723,99733) = 9945673959

Least Common Multiple (LCM) of 99723 and 99733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99723 and 99733. First we will calculate the prime factors of 99723 and 99733.

Prime Factorization of 99723

Prime Factorization of 99733

Now multiplying the highest exponent prime factors to calculate the LCM of 99723 and 99733.

LCM(99723,99733) = 3¹ × 13¹ × 2557¹ × 99733¹
LCM(99723,99733) = 9945673959