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What is the Least Common Multiple of 5367 and 5376?

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 5367 and 5376 is 9617664.

LCM(5367,5376) = 9617664

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Least Common Multiple of 5367 and 5376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5367 and 5376, than apply into the LCM equation.

GCF(5367,5376) = 3
LCM(5367,5376) = ( 5367 × 5376) / 3
LCM(5367,5376) = 28852992 / 3
LCM(5367,5376) = 9617664

Least Common Multiple (LCM) of 5367 and 5376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5367 and 5376. First we will calculate the prime factors of 5367 and 5376.

Prime Factorization of 5367

Prime factors of 5367 are 3, 1789. Prime factorization of 5367 in exponential form is:

5367 = 31 × 17891

Prime Factorization of 5376

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

5376 = 28 × 31 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 5367 and 5376.

LCM(5367,5376) = 31 × 17891 × 28 × 71
LCM(5367,5376) = 9617664