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What is the Least Common Multiple of 13372 and 13392?

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 13372 and 13392 is 44769456.

LCM(13372,13392) = 44769456

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Least Common Multiple of 13372 and 13392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13372 and 13392, than apply into the LCM equation.

GCF(13372,13392) = 4
LCM(13372,13392) = ( 13372 × 13392) / 4
LCM(13372,13392) = 179077824 / 4
LCM(13372,13392) = 44769456

Least Common Multiple (LCM) of 13372 and 13392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13372 and 13392. First we will calculate the prime factors of 13372 and 13392.

Prime Factorization of 13372

Prime factors of 13372 are 2, 3343. Prime factorization of 13372 in exponential form is:

13372 = 22 × 33431

Prime Factorization of 13392

Prime factors of 13392 are 2, 3, 31. Prime factorization of 13392 in exponential form is:

13392 = 24 × 33 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 13372 and 13392.

LCM(13372,13392) = 24 × 33431 × 33 × 311
LCM(13372,13392) = 44769456