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What is the Least Common Multiple of 84163 and 84178?

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 84178 is 7084673014.

LCM(84163,84178) = 7084673014

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Least Common Multiple of 84163 and 84178 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 84178, than apply into the LCM equation.

GCF(84163,84178) = 1
LCM(84163,84178) = ( 84163 × 84178) / 1
LCM(84163,84178) = 7084673014 / 1
LCM(84163,84178) = 7084673014

Least Common Multiple (LCM) of 84163 and 84178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84163 and 84178. First we will calculate the prime factors of 84163 and 84178.

Prime Factorization of 84163

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

84163 = 841631

Prime Factorization of 84178

Prime factors of 84178 are 2, 42089. Prime factorization of 84178 in exponential form is:

84178 = 21 × 420891

Now multiplying the highest exponent prime factors to calculate the LCM of 84163 and 84178.

LCM(84163,84178) = 841631 × 21 × 420891
LCM(84163,84178) = 7084673014