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What is the Least Common Multiple of 28364 and 28375?

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 28364 and 28375 is 804828500.

LCM(28364,28375) = 804828500

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Least Common Multiple of 28364 and 28375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28364 and 28375, than apply into the LCM equation.

GCF(28364,28375) = 1
LCM(28364,28375) = ( 28364 × 28375) / 1
LCM(28364,28375) = 804828500 / 1
LCM(28364,28375) = 804828500

Least Common Multiple (LCM) of 28364 and 28375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28364 and 28375. First we will calculate the prime factors of 28364 and 28375.

Prime Factorization of 28364

Prime factors of 28364 are 2, 7, 1013. Prime factorization of 28364 in exponential form is:

28364 = 22 × 71 × 10131

Prime Factorization of 28375

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

28375 = 53 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 28364 and 28375.

LCM(28364,28375) = 22 × 71 × 10131 × 53 × 2271
LCM(28364,28375) = 804828500