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What is the Least Common Multiple of 84307 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 84307 and 84327 is 7109356389.

LCM(84307,84327) = 7109356389

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Least Common Multiple of 84307 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 84307 and 84327, than apply into the LCM equation.

GCF(84307,84327) = 1
LCM(84307,84327) = ( 84307 × 84327) / 1
LCM(84307,84327) = 7109356389 / 1
LCM(84307,84327) = 7109356389

Least Common Multiple (LCM) of 84307 and 84327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84307 and 84327. First we will calculate the prime factors of 84307 and 84327.

Prime Factorization of 84307

Prime factors of 84307 are 84307. Prime factorization of 84307 in exponential form is:

84307 = 843071

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 84307 and 84327.

LCM(84307,84327) = 843071 × 31 × 281091
LCM(84307,84327) = 7109356389