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What is the Least Common Multiple of 28308 and 28321?

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 28308 and 28321 is 801710868.

LCM(28308,28321) = 801710868

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Least Common Multiple of 28308 and 28321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28308 and 28321, than apply into the LCM equation.

GCF(28308,28321) = 1
LCM(28308,28321) = ( 28308 × 28321) / 1
LCM(28308,28321) = 801710868 / 1
LCM(28308,28321) = 801710868

Least Common Multiple (LCM) of 28308 and 28321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28308 and 28321. First we will calculate the prime factors of 28308 and 28321.

Prime Factorization of 28308

Prime factors of 28308 are 2, 3, 7, 337. Prime factorization of 28308 in exponential form is:

28308 = 22 × 31 × 71 × 3371

Prime Factorization of 28321

Prime factors of 28321 are 127, 223. Prime factorization of 28321 in exponential form is:

28321 = 1271 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 28308 and 28321.

LCM(28308,28321) = 22 × 31 × 71 × 3371 × 1271 × 2231
LCM(28308,28321) = 801710868