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What is the Least Common Multiple of 28317 and 28327?

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 28317 and 28327 is 802135659.

LCM(28317,28327) = 802135659

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Least Common Multiple of 28317 and 28327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28317 and 28327, than apply into the LCM equation.

GCF(28317,28327) = 1
LCM(28317,28327) = ( 28317 × 28327) / 1
LCM(28317,28327) = 802135659 / 1
LCM(28317,28327) = 802135659

Least Common Multiple (LCM) of 28317 and 28327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28317 and 28327. First we will calculate the prime factors of 28317 and 28327.

Prime Factorization of 28317

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

28317 = 31 × 94391

Prime Factorization of 28327

Prime factors of 28327 are 13, 2179. Prime factorization of 28327 in exponential form is:

28327 = 131 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 28317 and 28327.

LCM(28317,28327) = 31 × 94391 × 131 × 21791
LCM(28317,28327) = 802135659