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What is the Least Common Multiple of 84893 and 84908?

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 84893 and 84908 is 7208094844.

LCM(84893,84908) = 7208094844

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Least Common Multiple of 84893 and 84908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84893 and 84908, than apply into the LCM equation.

GCF(84893,84908) = 1
LCM(84893,84908) = ( 84893 × 84908) / 1
LCM(84893,84908) = 7208094844 / 1
LCM(84893,84908) = 7208094844

Least Common Multiple (LCM) of 84893 and 84908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84893 and 84908. First we will calculate the prime factors of 84893 and 84908.

Prime Factorization of 84893

Prime factors of 84893 are 23, 3691. Prime factorization of 84893 in exponential form is:

84893 = 231 × 36911

Prime Factorization of 84908

Prime factors of 84908 are 2, 21227. Prime factorization of 84908 in exponential form is:

84908 = 22 × 212271

Now multiplying the highest exponent prime factors to calculate the LCM of 84893 and 84908.

LCM(84893,84908) = 231 × 36911 × 22 × 212271
LCM(84893,84908) = 7208094844