What is the Least Common Multiple of 11376 and 11392?

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 11376 and 11392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11376 and 11392, than apply into the LCM equation.

GCF(11376,11392) = 16
LCM(11376,11392) = ( 11376 × 11392) / 16
LCM(11376,11392) = 129595392 / 16
LCM(11376,11392) = 8099712

Least Common Multiple (LCM) of 11376 and 11392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11376 and 11392. First we will calculate the prime factors of 11376 and 11392.

Prime Factorization of 11376

Prime Factorization of 11392

Now multiplying the highest exponent prime factors to calculate the LCM of 11376 and 11392.

LCM(11376,11392) = 2⁷ × 3² × 79¹ × 89¹
LCM(11376,11392) = 8099712