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What is the Least Common Multiple of 84327 and 84337?

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 84327 and 84337 is 7111886199.

LCM(84327,84337) = 7111886199

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Least Common Multiple of 84327 and 84337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84327 and 84337, than apply into the LCM equation.

GCF(84327,84337) = 1
LCM(84327,84337) = ( 84327 × 84337) / 1
LCM(84327,84337) = 7111886199 / 1
LCM(84327,84337) = 7111886199

Least Common Multiple (LCM) of 84327 and 84337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84327 and 84337. First we will calculate the prime factors of 84327 and 84337.

Prime Factorization of 84327

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

84327 = 31 × 281091

Prime Factorization of 84337

Prime factors of 84337 are 11, 17, 41. Prime factorization of 84337 in exponential form is:

84337 = 112 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 84327 and 84337.

LCM(84327,84337) = 31 × 281091 × 112 × 171 × 411
LCM(84327,84337) = 7111886199