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What is the Least Common Multiple of 84157 and 84166?

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 84157 and 84166 is 7083158062.

LCM(84157,84166) = 7083158062

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Least Common Multiple of 84157 and 84166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84157 and 84166, than apply into the LCM equation.

GCF(84157,84166) = 1
LCM(84157,84166) = ( 84157 × 84166) / 1
LCM(84157,84166) = 7083158062 / 1
LCM(84157,84166) = 7083158062

Least Common Multiple (LCM) of 84157 and 84166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84157 and 84166. First we will calculate the prime factors of 84157 and 84166.

Prime Factorization of 84157

Prime factors of 84157 are 23, 3659. Prime factorization of 84157 in exponential form is:

84157 = 231 × 36591

Prime Factorization of 84166

Prime factors of 84166 are 2, 42083. Prime factorization of 84166 in exponential form is:

84166 = 21 × 420831

Now multiplying the highest exponent prime factors to calculate the LCM of 84157 and 84166.

LCM(84157,84166) = 231 × 36591 × 21 × 420831
LCM(84157,84166) = 7083158062