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What is the Least Common Multiple of 84485 and 84500?

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 84485 and 84500 is 1427796500.

LCM(84485,84500) = 1427796500

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Least Common Multiple of 84485 and 84500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84485 and 84500, than apply into the LCM equation.

GCF(84485,84500) = 5
LCM(84485,84500) = ( 84485 × 84500) / 5
LCM(84485,84500) = 7138982500 / 5
LCM(84485,84500) = 1427796500

Least Common Multiple (LCM) of 84485 and 84500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84485 and 84500. First we will calculate the prime factors of 84485 and 84500.

Prime Factorization of 84485

Prime factors of 84485 are 5, 61, 277. Prime factorization of 84485 in exponential form is:

84485 = 51 × 611 × 2771

Prime Factorization of 84500

Prime factors of 84500 are 2, 5, 13. Prime factorization of 84500 in exponential form is:

84500 = 22 × 53 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 84485 and 84500.

LCM(84485,84500) = 53 × 611 × 2771 × 22 × 132
LCM(84485,84500) = 1427796500