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What is the Least Common Multiple of 11385 and 11399?

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 11399 is 129777615.

LCM(11385,11399) = 129777615

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Least Common Multiple of 11385 and 11399 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 11399, than apply into the LCM equation.

GCF(11385,11399) = 1
LCM(11385,11399) = ( 11385 × 11399) / 1
LCM(11385,11399) = 129777615 / 1
LCM(11385,11399) = 129777615

Least Common Multiple (LCM) of 11385 and 11399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11385 and 11399. First we will calculate the prime factors of 11385 and 11399.

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 11399

Prime factors of 11399 are 11399. Prime factorization of 11399 in exponential form is:

11399 = 113991

Now multiplying the highest exponent prime factors to calculate the LCM of 11385 and 11399.

LCM(11385,11399) = 32 × 51 × 111 × 231 × 113991
LCM(11385,11399) = 129777615