What is the Least Common Multiple of 99385 and 99403?

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 99385 and 99403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99385 and 99403, than apply into the LCM equation.

GCF(99385,99403) = 1
LCM(99385,99403) = ( 99385 × 99403) / 1
LCM(99385,99403) = 9879167155 / 1
LCM(99385,99403) = 9879167155

Least Common Multiple (LCM) of 99385 and 99403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99385 and 99403. First we will calculate the prime factors of 99385 and 99403.

Prime Factorization of 99385

Prime Factorization of 99403

Now multiplying the highest exponent prime factors to calculate the LCM of 99385 and 99403.

LCM(99385,99403) = 5¹ × 11¹ × 13¹ × 139¹ × 107¹ × 929¹
LCM(99385,99403) = 9879167155