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What is the Least Common Multiple of 5376 and 5392?

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 5376 and 5392 is 1811712.

LCM(5376,5392) = 1811712

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Least Common Multiple of 5376 and 5392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5376 and 5392, than apply into the LCM equation.

GCF(5376,5392) = 16
LCM(5376,5392) = ( 5376 × 5392) / 16
LCM(5376,5392) = 28987392 / 16
LCM(5376,5392) = 1811712

Least Common Multiple (LCM) of 5376 and 5392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5376 and 5392. First we will calculate the prime factors of 5376 and 5392.

Prime Factorization of 5376

Prime factors of 5376 are 2, 3, 7. Prime factorization of 5376 in exponential form is:

5376 = 28 × 31 × 71

Prime Factorization of 5392

Prime factors of 5392 are 2, 337. Prime factorization of 5392 in exponential form is:

5392 = 24 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 5376 and 5392.

LCM(5376,5392) = 28 × 31 × 71 × 3371
LCM(5376,5392) = 1811712