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What is the Least Common Multiple of 28313 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 28313 and 28321 is 801852473.

LCM(28313,28321) = 801852473

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Least Common Multiple of 28313 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 28313 and 28321, than apply into the LCM equation.

GCF(28313,28321) = 1
LCM(28313,28321) = ( 28313 × 28321) / 1
LCM(28313,28321) = 801852473 / 1
LCM(28313,28321) = 801852473

Least Common Multiple (LCM) of 28313 and 28321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28313 and 28321. First we will calculate the prime factors of 28313 and 28321.

Prime Factorization of 28313

Prime factors of 28313 are 23, 1231. Prime factorization of 28313 in exponential form is:

28313 = 231 × 12311

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 28313 and 28321.

LCM(28313,28321) = 231 × 12311 × 1271 × 2231
LCM(28313,28321) = 801852473