What is the Least Common Multiple of 99385 and 99397?

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 99397 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 99397, than apply into the LCM equation.

GCF(99385,99397) = 1
LCM(99385,99397) = ( 99385 × 99397) / 1
LCM(99385,99397) = 9878570845 / 1
LCM(99385,99397) = 9878570845

Least Common Multiple (LCM) of 99385 and 99397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99385 and 99397. First we will calculate the prime factors of 99385 and 99397.

Prime Factorization of 99385

Prime Factorization of 99397

Now multiplying the highest exponent prime factors to calculate the LCM of 99385 and 99397.

LCM(99385,99397) = 5¹ × 11¹ × 13¹ × 139¹ × 99397¹
LCM(99385,99397) = 9878570845