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What is the Least Common Multiple of 83047 and 83051?

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 83047 and 83051 is 6897136397.

LCM(83047,83051) = 6897136397

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Least Common Multiple of 83047 and 83051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83047 and 83051, than apply into the LCM equation.

GCF(83047,83051) = 1
LCM(83047,83051) = ( 83047 × 83051) / 1
LCM(83047,83051) = 6897136397 / 1
LCM(83047,83051) = 6897136397

Least Common Multiple (LCM) of 83047 and 83051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83047 and 83051. First we will calculate the prime factors of 83047 and 83051.

Prime Factorization of 83047

Prime factors of 83047 are 83047. Prime factorization of 83047 in exponential form is:

83047 = 830471

Prime Factorization of 83051

Prime factors of 83051 are 53, 1567. Prime factorization of 83051 in exponential form is:

83051 = 531 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 83047 and 83051.

LCM(83047,83051) = 830471 × 531 × 15671
LCM(83047,83051) = 6897136397