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What is the Least Common Multiple of 13387 and 13399?

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 13387 and 13399 is 179372413.

LCM(13387,13399) = 179372413

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Least Common Multiple of 13387 and 13399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13387 and 13399, than apply into the LCM equation.

GCF(13387,13399) = 1
LCM(13387,13399) = ( 13387 × 13399) / 1
LCM(13387,13399) = 179372413 / 1
LCM(13387,13399) = 179372413

Least Common Multiple (LCM) of 13387 and 13399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13387 and 13399. First we will calculate the prime factors of 13387 and 13399.

Prime Factorization of 13387

Prime factors of 13387 are 11, 1217. Prime factorization of 13387 in exponential form is:

13387 = 111 × 12171

Prime Factorization of 13399

Prime factors of 13399 are 13399. Prime factorization of 13399 in exponential form is:

13399 = 133991

Now multiplying the highest exponent prime factors to calculate the LCM of 13387 and 13399.

LCM(13387,13399) = 111 × 12171 × 133991
LCM(13387,13399) = 179372413