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What is the Least Common Multiple of 28883 and 28893?

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 28883 and 28893 is 834516519.

LCM(28883,28893) = 834516519

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Least Common Multiple of 28883 and 28893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28883 and 28893, than apply into the LCM equation.

GCF(28883,28893) = 1
LCM(28883,28893) = ( 28883 × 28893) / 1
LCM(28883,28893) = 834516519 / 1
LCM(28883,28893) = 834516519

Least Common Multiple (LCM) of 28883 and 28893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28883 and 28893. First we will calculate the prime factors of 28883 and 28893.

Prime Factorization of 28883

Prime factors of 28883 are 17, 1699. Prime factorization of 28883 in exponential form is:

28883 = 171 × 16991

Prime Factorization of 28893

Prime factors of 28893 are 3, 9631. Prime factorization of 28893 in exponential form is:

28893 = 31 × 96311

Now multiplying the highest exponent prime factors to calculate the LCM of 28883 and 28893.

LCM(28883,28893) = 171 × 16991 × 31 × 96311
LCM(28883,28893) = 834516519