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What is the Least Common Multiple of 12439 and 12456?

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 12439 and 12456 is 154940184.

LCM(12439,12456) = 154940184

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Least Common Multiple of 12439 and 12456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12439 and 12456, than apply into the LCM equation.

GCF(12439,12456) = 1
LCM(12439,12456) = ( 12439 × 12456) / 1
LCM(12439,12456) = 154940184 / 1
LCM(12439,12456) = 154940184

Least Common Multiple (LCM) of 12439 and 12456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12439 and 12456. First we will calculate the prime factors of 12439 and 12456.

Prime Factorization of 12439

Prime factors of 12439 are 7, 1777. Prime factorization of 12439 in exponential form is:

12439 = 71 × 17771

Prime Factorization of 12456

Prime factors of 12456 are 2, 3, 173. Prime factorization of 12456 in exponential form is:

12456 = 23 × 32 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 12439 and 12456.

LCM(12439,12456) = 71 × 17771 × 23 × 32 × 1731
LCM(12439,12456) = 154940184