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What is the Least Common Multiple of 12344 and 12359?

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 12344 and 12359 is 152559496.

LCM(12344,12359) = 152559496

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Least Common Multiple of 12344 and 12359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12344 and 12359, than apply into the LCM equation.

GCF(12344,12359) = 1
LCM(12344,12359) = ( 12344 × 12359) / 1
LCM(12344,12359) = 152559496 / 1
LCM(12344,12359) = 152559496

Least Common Multiple (LCM) of 12344 and 12359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12344 and 12359. First we will calculate the prime factors of 12344 and 12359.

Prime Factorization of 12344

Prime factors of 12344 are 2, 1543. Prime factorization of 12344 in exponential form is:

12344 = 23 × 15431

Prime Factorization of 12359

Prime factors of 12359 are 17, 727. Prime factorization of 12359 in exponential form is:

12359 = 171 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 12344 and 12359.

LCM(12344,12359) = 23 × 15431 × 171 × 7271
LCM(12344,12359) = 152559496