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What is the Least Common Multiple of 84179 and 84186?

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 84179 and 84186 is 7086693294.

LCM(84179,84186) = 7086693294

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Least Common Multiple of 84179 and 84186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84179 and 84186, than apply into the LCM equation.

GCF(84179,84186) = 1
LCM(84179,84186) = ( 84179 × 84186) / 1
LCM(84179,84186) = 7086693294 / 1
LCM(84179,84186) = 7086693294

Least Common Multiple (LCM) of 84179 and 84186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84179 and 84186. First we will calculate the prime factors of 84179 and 84186.

Prime Factorization of 84179

Prime factors of 84179 are 84179. Prime factorization of 84179 in exponential form is:

84179 = 841791

Prime Factorization of 84186

Prime factors of 84186 are 2, 3, 1559. Prime factorization of 84186 in exponential form is:

84186 = 21 × 33 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 84179 and 84186.

LCM(84179,84186) = 841791 × 21 × 33 × 15591
LCM(84179,84186) = 7086693294