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What is the Least Common Multiple of 12367 and 12379?

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 12367 and 12379 is 153091093.

LCM(12367,12379) = 153091093

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Least Common Multiple of 12367 and 12379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12367 and 12379, than apply into the LCM equation.

GCF(12367,12379) = 1
LCM(12367,12379) = ( 12367 × 12379) / 1
LCM(12367,12379) = 153091093 / 1
LCM(12367,12379) = 153091093

Least Common Multiple (LCM) of 12367 and 12379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12367 and 12379. First we will calculate the prime factors of 12367 and 12379.

Prime Factorization of 12367

Prime factors of 12367 are 83, 149. Prime factorization of 12367 in exponential form is:

12367 = 831 × 1491

Prime Factorization of 12379

Prime factors of 12379 are 12379. Prime factorization of 12379 in exponential form is:

12379 = 123791

Now multiplying the highest exponent prime factors to calculate the LCM of 12367 and 12379.

LCM(12367,12379) = 831 × 1491 × 123791
LCM(12367,12379) = 153091093