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What is the Least Common Multiple of 28375 and 28392?

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 28375 and 28392 is 805623000.

LCM(28375,28392) = 805623000

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Least Common Multiple of 28375 and 28392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28375 and 28392, than apply into the LCM equation.

GCF(28375,28392) = 1
LCM(28375,28392) = ( 28375 × 28392) / 1
LCM(28375,28392) = 805623000 / 1
LCM(28375,28392) = 805623000

Least Common Multiple (LCM) of 28375 and 28392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28375 and 28392. First we will calculate the prime factors of 28375 and 28392.

Prime Factorization of 28375

Prime factors of 28375 are 5, 227. Prime factorization of 28375 in exponential form is:

28375 = 53 × 2271

Prime Factorization of 28392

Prime factors of 28392 are 2, 3, 7, 13. Prime factorization of 28392 in exponential form is:

28392 = 23 × 31 × 71 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 28375 and 28392.

LCM(28375,28392) = 53 × 2271 × 23 × 31 × 71 × 132
LCM(28375,28392) = 805623000