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What is the Least Common Multiple of 84117 and 84136?

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 84117 and 84136 is 7077267912.

LCM(84117,84136) = 7077267912

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Least Common Multiple of 84117 and 84136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84117 and 84136, than apply into the LCM equation.

GCF(84117,84136) = 1
LCM(84117,84136) = ( 84117 × 84136) / 1
LCM(84117,84136) = 7077267912 / 1
LCM(84117,84136) = 7077267912

Least Common Multiple (LCM) of 84117 and 84136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84117 and 84136. First we will calculate the prime factors of 84117 and 84136.

Prime Factorization of 84117

Prime factors of 84117 are 3, 11, 2549. Prime factorization of 84117 in exponential form is:

84117 = 31 × 111 × 25491

Prime Factorization of 84136

Prime factors of 84136 are 2, 13, 809. Prime factorization of 84136 in exponential form is:

84136 = 23 × 131 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 84117 and 84136.

LCM(84117,84136) = 31 × 111 × 25491 × 23 × 131 × 8091
LCM(84117,84136) = 7077267912