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What is the Least Common Multiple of 28311 and 28317?

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 28311 and 28317 is 267227529.

LCM(28311,28317) = 267227529

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Least Common Multiple of 28311 and 28317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28311 and 28317, than apply into the LCM equation.

GCF(28311,28317) = 3
LCM(28311,28317) = ( 28311 × 28317) / 3
LCM(28311,28317) = 801682587 / 3
LCM(28311,28317) = 267227529

Least Common Multiple (LCM) of 28311 and 28317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28311 and 28317. First we will calculate the prime factors of 28311 and 28317.

Prime Factorization of 28311

Prime factors of 28311 are 3, 9437. Prime factorization of 28311 in exponential form is:

28311 = 31 × 94371

Prime Factorization of 28317

Prime factors of 28317 are 3, 9439. Prime factorization of 28317 in exponential form is:

28317 = 31 × 94391

Now multiplying the highest exponent prime factors to calculate the LCM of 28311 and 28317.

LCM(28311,28317) = 31 × 94371 × 94391
LCM(28311,28317) = 267227529