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What is the Least Common Multiple of 84388 and 84397?

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 84388 and 84397 is 7122094036.

LCM(84388,84397) = 7122094036

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Least Common Multiple of 84388 and 84397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84388 and 84397, than apply into the LCM equation.

GCF(84388,84397) = 1
LCM(84388,84397) = ( 84388 × 84397) / 1
LCM(84388,84397) = 7122094036 / 1
LCM(84388,84397) = 7122094036

Least Common Multiple (LCM) of 84388 and 84397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84388 and 84397. First we will calculate the prime factors of 84388 and 84397.

Prime Factorization of 84388

Prime factors of 84388 are 2, 17, 73. Prime factorization of 84388 in exponential form is:

84388 = 22 × 172 × 731

Prime Factorization of 84397

Prime factors of 84397 are 37, 2281. Prime factorization of 84397 in exponential form is:

84397 = 371 × 22811

Now multiplying the highest exponent prime factors to calculate the LCM of 84388 and 84397.

LCM(84388,84397) = 22 × 172 × 731 × 371 × 22811
LCM(84388,84397) = 7122094036