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What is the Least Common Multiple of 84841 and 84855?

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 84841 and 84855 is 7199183055.

LCM(84841,84855) = 7199183055

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Least Common Multiple of 84841 and 84855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84841 and 84855, than apply into the LCM equation.

GCF(84841,84855) = 1
LCM(84841,84855) = ( 84841 × 84855) / 1
LCM(84841,84855) = 7199183055 / 1
LCM(84841,84855) = 7199183055

Least Common Multiple (LCM) of 84841 and 84855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84841 and 84855. First we will calculate the prime factors of 84841 and 84855.

Prime Factorization of 84841

Prime factors of 84841 are 37, 2293. Prime factorization of 84841 in exponential form is:

84841 = 371 × 22931

Prime Factorization of 84855

Prime factors of 84855 are 3, 5, 5657. Prime factorization of 84855 in exponential form is:

84855 = 31 × 51 × 56571

Now multiplying the highest exponent prime factors to calculate the LCM of 84841 and 84855.

LCM(84841,84855) = 371 × 22931 × 31 × 51 × 56571
LCM(84841,84855) = 7199183055