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What is the Least Common Multiple of 84891 and 84899?

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 84891 and 84899 is 7207161009.

LCM(84891,84899) = 7207161009

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Least Common Multiple of 84891 and 84899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84891 and 84899, than apply into the LCM equation.

GCF(84891,84899) = 1
LCM(84891,84899) = ( 84891 × 84899) / 1
LCM(84891,84899) = 7207161009 / 1
LCM(84891,84899) = 7207161009

Least Common Multiple (LCM) of 84891 and 84899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84891 and 84899. First we will calculate the prime factors of 84891 and 84899.

Prime Factorization of 84891

Prime factors of 84891 are 3, 28297. Prime factorization of 84891 in exponential form is:

84891 = 31 × 282971

Prime Factorization of 84899

Prime factors of 84899 are 73, 1163. Prime factorization of 84899 in exponential form is:

84899 = 731 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 84891 and 84899.

LCM(84891,84899) = 31 × 282971 × 731 × 11631
LCM(84891,84899) = 7207161009