What is the Least Common Multiple of 11364 and 11377?

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 11364 and 11377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11364 and 11377, than apply into the LCM equation.

GCF(11364,11377) = 1
LCM(11364,11377) = ( 11364 × 11377) / 1
LCM(11364,11377) = 129288228 / 1
LCM(11364,11377) = 129288228

Least Common Multiple (LCM) of 11364 and 11377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11364 and 11377. First we will calculate the prime factors of 11364 and 11377.

Prime Factorization of 11364

Prime Factorization of 11377

Now multiplying the highest exponent prime factors to calculate the LCM of 11364 and 11377.

LCM(11364,11377) = 2² × 3¹ × 947¹ × 31¹ × 367¹
LCM(11364,11377) = 129288228