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What is the Least Common Multiple of 5381 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 5381 and 5392 is 29014352.

LCM(5381,5392) = 29014352

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Least Common Multiple of 5381 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 5381 and 5392, than apply into the LCM equation.

GCF(5381,5392) = 1
LCM(5381,5392) = ( 5381 × 5392) / 1
LCM(5381,5392) = 29014352 / 1
LCM(5381,5392) = 29014352

Least Common Multiple (LCM) of 5381 and 5392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5381 and 5392. First we will calculate the prime factors of 5381 and 5392.

Prime Factorization of 5381

Prime factors of 5381 are 5381. Prime factorization of 5381 in exponential form is:

5381 = 53811

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 5381 and 5392.

LCM(5381,5392) = 53811 × 24 × 3371
LCM(5381,5392) = 29014352