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What is the Least Common Multiple of 5369 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 5369 and 5376 is 4123392.

LCM(5369,5376) = 4123392

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Least Common Multiple of 5369 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 5369 and 5376, than apply into the LCM equation.

GCF(5369,5376) = 7
LCM(5369,5376) = ( 5369 × 5376) / 7
LCM(5369,5376) = 28863744 / 7
LCM(5369,5376) = 4123392

Least Common Multiple (LCM) of 5369 and 5376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5369 and 5376. First we will calculate the prime factors of 5369 and 5376.

Prime Factorization of 5369

Prime factors of 5369 are 7, 13, 59. Prime factorization of 5369 in exponential form is:

5369 = 71 × 131 × 591

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 5369 and 5376.

LCM(5369,5376) = 71 × 131 × 591 × 28 × 31
LCM(5369,5376) = 4123392