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What is the Least Common Multiple of 84313 and 84327?

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 84313 and 84327 is 7109862351.

LCM(84313,84327) = 7109862351

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Least Common Multiple of 84313 and 84327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84313 and 84327, than apply into the LCM equation.

GCF(84313,84327) = 1
LCM(84313,84327) = ( 84313 × 84327) / 1
LCM(84313,84327) = 7109862351 / 1
LCM(84313,84327) = 7109862351

Least Common Multiple (LCM) of 84313 and 84327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84313 and 84327. First we will calculate the prime factors of 84313 and 84327.

Prime Factorization of 84313

Prime factors of 84313 are 84313. Prime factorization of 84313 in exponential form is:

84313 = 843131

Prime Factorization of 84327

Prime factors of 84327 are 3, 28109. Prime factorization of 84327 in exponential form is:

84327 = 31 × 281091

Now multiplying the highest exponent prime factors to calculate the LCM of 84313 and 84327.

LCM(84313,84327) = 843131 × 31 × 281091
LCM(84313,84327) = 7109862351