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What is the Least Common Multiple of 84271 and 84287?

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 84271 and 84287 is 7102949777.

LCM(84271,84287) = 7102949777

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Least Common Multiple of 84271 and 84287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84271 and 84287, than apply into the LCM equation.

GCF(84271,84287) = 1
LCM(84271,84287) = ( 84271 × 84287) / 1
LCM(84271,84287) = 7102949777 / 1
LCM(84271,84287) = 7102949777

Least Common Multiple (LCM) of 84271 and 84287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84271 and 84287. First we will calculate the prime factors of 84271 and 84287.

Prime Factorization of 84271

Prime factors of 84271 are 11, 47, 163. Prime factorization of 84271 in exponential form is:

84271 = 111 × 471 × 1631

Prime Factorization of 84287

Prime factors of 84287 are 7, 12041. Prime factorization of 84287 in exponential form is:

84287 = 71 × 120411

Now multiplying the highest exponent prime factors to calculate the LCM of 84271 and 84287.

LCM(84271,84287) = 111 × 471 × 1631 × 71 × 120411
LCM(84271,84287) = 7102949777