What is the Least Common Multiple of 11344 and 11364?

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 11344 and 11364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11344 and 11364, than apply into the LCM equation.

GCF(11344,11364) = 4
LCM(11344,11364) = ( 11344 × 11364) / 4
LCM(11344,11364) = 128913216 / 4
LCM(11344,11364) = 32228304

Least Common Multiple (LCM) of 11344 and 11364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11344 and 11364. First we will calculate the prime factors of 11344 and 11364.

Prime Factorization of 11344

Prime Factorization of 11364

Now multiplying the highest exponent prime factors to calculate the LCM of 11344 and 11364.

LCM(11344,11364) = 2⁴ × 709¹ × 3¹ × 947¹
LCM(11344,11364) = 32228304