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What is the Least Common Multiple of 28382 and 28393?

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 28382 and 28393 is 805850126.

LCM(28382,28393) = 805850126

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Least Common Multiple of 28382 and 28393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28382 and 28393, than apply into the LCM equation.

GCF(28382,28393) = 1
LCM(28382,28393) = ( 28382 × 28393) / 1
LCM(28382,28393) = 805850126 / 1
LCM(28382,28393) = 805850126

Least Common Multiple (LCM) of 28382 and 28393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28382 and 28393. First we will calculate the prime factors of 28382 and 28393.

Prime Factorization of 28382

Prime factors of 28382 are 2, 23, 617. Prime factorization of 28382 in exponential form is:

28382 = 21 × 231 × 6171

Prime Factorization of 28393

Prime factors of 28393 are 28393. Prime factorization of 28393 in exponential form is:

28393 = 283931

Now multiplying the highest exponent prime factors to calculate the LCM of 28382 and 28393.

LCM(28382,28393) = 21 × 231 × 6171 × 283931
LCM(28382,28393) = 805850126