What is the Least Common Multiple of 11392 and 11399?

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 11392 and 11399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11392 and 11399, than apply into the LCM equation.

GCF(11392,11399) = 1
LCM(11392,11399) = ( 11392 × 11399) / 1
LCM(11392,11399) = 129857408 / 1
LCM(11392,11399) = 129857408

Least Common Multiple (LCM) of 11392 and 11399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11392 and 11399. First we will calculate the prime factors of 11392 and 11399.

Prime Factorization of 11392

Prime Factorization of 11399

Now multiplying the highest exponent prime factors to calculate the LCM of 11392 and 11399.

LCM(11392,11399) = 2⁷ × 89¹ × 11399¹
LCM(11392,11399) = 129857408