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What is the Least Common Multiple of 11387 and 11395?

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 11387 and 11395 is 129754865.

LCM(11387,11395) = 129754865

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Least Common Multiple of 11387 and 11395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11387 and 11395, than apply into the LCM equation.

GCF(11387,11395) = 1
LCM(11387,11395) = ( 11387 × 11395) / 1
LCM(11387,11395) = 129754865 / 1
LCM(11387,11395) = 129754865

Least Common Multiple (LCM) of 11387 and 11395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11387 and 11395. First we will calculate the prime factors of 11387 and 11395.

Prime Factorization of 11387

Prime factors of 11387 are 59, 193. Prime factorization of 11387 in exponential form is:

11387 = 591 × 1931

Prime Factorization of 11395

Prime factors of 11395 are 5, 43, 53. Prime factorization of 11395 in exponential form is:

11395 = 51 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 11387 and 11395.

LCM(11387,11395) = 591 × 1931 × 51 × 431 × 531
LCM(11387,11395) = 129754865