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What is the Least Common Multiple of 11385 and 11397?

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 (LCM) of 11385 and 11397 is 43251615.

LCM(11385,11397) = 43251615

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Least Common Multiple of 11385 and 11397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11385 and 11397, than apply into the LCM equation.

GCF(11385,11397) = 3
LCM(11385,11397) = ( 11385 × 11397) / 3
LCM(11385,11397) = 129754845 / 3
LCM(11385,11397) = 43251615

Least Common Multiple (LCM) of 11385 and 11397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11385 and 11397. First we will calculate the prime factors of 11385 and 11397.

Prime Factorization of 11385

Prime factors of 11385 are 3, 5, 11, 23. Prime factorization of 11385 in exponential form is:

11385 = 32 × 51 × 111 × 231

Prime Factorization of 11397

Prime factors of 11397 are 3, 29, 131. Prime factorization of 11397 in exponential form is:

11397 = 31 × 291 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 11385 and 11397.

LCM(11385,11397) = 32 × 51 × 111 × 231 × 291 × 1311
LCM(11385,11397) = 43251615