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What is the Least Common Multiple of 28339 and 28346?

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 28339 and 28346 is 803297294.

LCM(28339,28346) = 803297294

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Least Common Multiple of 28339 and 28346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28339 and 28346, than apply into the LCM equation.

GCF(28339,28346) = 1
LCM(28339,28346) = ( 28339 × 28346) / 1
LCM(28339,28346) = 803297294 / 1
LCM(28339,28346) = 803297294

Least Common Multiple (LCM) of 28339 and 28346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28339 and 28346. First we will calculate the prime factors of 28339 and 28346.

Prime Factorization of 28339

Prime factors of 28339 are 17, 1667. Prime factorization of 28339 in exponential form is:

28339 = 171 × 16671

Prime Factorization of 28346

Prime factors of 28346 are 2, 14173. Prime factorization of 28346 in exponential form is:

28346 = 21 × 141731

Now multiplying the highest exponent prime factors to calculate the LCM of 28339 and 28346.

LCM(28339,28346) = 171 × 16671 × 21 × 141731
LCM(28339,28346) = 803297294