What is the Least Common Multiple of 11360 and 11376?

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 11360 and 11376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11360 and 11376, than apply into the LCM equation.

GCF(11360,11376) = 16
LCM(11360,11376) = ( 11360 × 11376) / 16
LCM(11360,11376) = 129231360 / 16
LCM(11360,11376) = 8076960

Least Common Multiple (LCM) of 11360 and 11376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11360 and 11376. First we will calculate the prime factors of 11360 and 11376.

Prime Factorization of 11360

Prime Factorization of 11376

Now multiplying the highest exponent prime factors to calculate the LCM of 11360 and 11376.

LCM(11360,11376) = 2⁵ × 5¹ × 71¹ × 3² × 79¹
LCM(11360,11376) = 8076960