What is the Least Common Multiple of 11364 and 11382?

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 11382 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 11382, than apply into the LCM equation.

GCF(11364,11382) = 6
LCM(11364,11382) = ( 11364 × 11382) / 6
LCM(11364,11382) = 129345048 / 6
LCM(11364,11382) = 21557508

Least Common Multiple (LCM) of 11364 and 11382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11364 and 11382. First we will calculate the prime factors of 11364 and 11382.

Prime Factorization of 11364

Prime Factorization of 11382

Now multiplying the highest exponent prime factors to calculate the LCM of 11364 and 11382.

LCM(11364,11382) = 2² × 3¹ × 947¹ × 7¹ × 271¹
LCM(11364,11382) = 21557508