What is the Least Common Multiple of 11376 and 11385?

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 11385 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 11385, than apply into the LCM equation.

GCF(11376,11385) = 9
LCM(11376,11385) = ( 11376 × 11385) / 9
LCM(11376,11385) = 129515760 / 9
LCM(11376,11385) = 14390640

Least Common Multiple (LCM) of 11376 and 11385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11376 and 11385. First we will calculate the prime factors of 11376 and 11385.

Prime Factorization of 11376

Prime Factorization of 11385

Now multiplying the highest exponent prime factors to calculate the LCM of 11376 and 11385.

LCM(11376,11385) = 2⁴ × 3² × 79¹ × 5¹ × 11¹ × 23¹
LCM(11376,11385) = 14390640