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What is the Least Common Multiple of 12344 and 12356?

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 12356 is 38130616.

LCM(12344,12356) = 38130616

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Least Common Multiple of 12344 and 12356 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 12356, than apply into the LCM equation.

GCF(12344,12356) = 4
LCM(12344,12356) = ( 12344 × 12356) / 4
LCM(12344,12356) = 152522464 / 4
LCM(12344,12356) = 38130616

Least Common Multiple (LCM) of 12344 and 12356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12344 and 12356. First we will calculate the prime factors of 12344 and 12356.

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 12356

Prime factors of 12356 are 2, 3089. Prime factorization of 12356 in exponential form is:

12356 = 22 × 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 12344 and 12356.

LCM(12344,12356) = 23 × 15431 × 30891
LCM(12344,12356) = 38130616