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What is the Least Common Multiple of 28366 and 28382?

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 28366 and 28382 is 402541906.

LCM(28366,28382) = 402541906

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Least Common Multiple of 28366 and 28382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28366 and 28382, than apply into the LCM equation.

GCF(28366,28382) = 2
LCM(28366,28382) = ( 28366 × 28382) / 2
LCM(28366,28382) = 805083812 / 2
LCM(28366,28382) = 402541906

Least Common Multiple (LCM) of 28366 and 28382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28366 and 28382. First we will calculate the prime factors of 28366 and 28382.

Prime Factorization of 28366

Prime factors of 28366 are 2, 13, 1091. Prime factorization of 28366 in exponential form is:

28366 = 21 × 131 × 10911

Prime Factorization of 28382

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

28382 = 21 × 231 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 28366 and 28382.

LCM(28366,28382) = 21 × 131 × 10911 × 231 × 6171
LCM(28366,28382) = 402541906