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What is the Least Common Multiple of 84859 and 84867?

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 84859 and 84867 is 7201728753.

LCM(84859,84867) = 7201728753

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Least Common Multiple of 84859 and 84867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84859 and 84867, than apply into the LCM equation.

GCF(84859,84867) = 1
LCM(84859,84867) = ( 84859 × 84867) / 1
LCM(84859,84867) = 7201728753 / 1
LCM(84859,84867) = 7201728753

Least Common Multiple (LCM) of 84859 and 84867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84859 and 84867. First we will calculate the prime factors of 84859 and 84867.

Prime Factorization of 84859

Prime factors of 84859 are 84859. Prime factorization of 84859 in exponential form is:

84859 = 848591

Prime Factorization of 84867

Prime factors of 84867 are 3, 28289. Prime factorization of 84867 in exponential form is:

84867 = 31 × 282891

Now multiplying the highest exponent prime factors to calculate the LCM of 84859 and 84867.

LCM(84859,84867) = 848591 × 31 × 282891
LCM(84859,84867) = 7201728753