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What is the Least Common Multiple of 84163 and 84179?

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 84163 and 84179 is 7084757177.

LCM(84163,84179) = 7084757177

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Least Common Multiple of 84163 and 84179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84163 and 84179, than apply into the LCM equation.

GCF(84163,84179) = 1
LCM(84163,84179) = ( 84163 × 84179) / 1
LCM(84163,84179) = 7084757177 / 1
LCM(84163,84179) = 7084757177

Least Common Multiple (LCM) of 84163 and 84179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84163 and 84179. First we will calculate the prime factors of 84163 and 84179.

Prime Factorization of 84163

Prime factors of 84163 are 84163. Prime factorization of 84163 in exponential form is:

84163 = 841631

Prime Factorization of 84179

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

84179 = 841791

Now multiplying the highest exponent prime factors to calculate the LCM of 84163 and 84179.

LCM(84163,84179) = 841631 × 841791
LCM(84163,84179) = 7084757177