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What is the Least Common Multiple of 80173 and 80187?

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 80173 and 80187 is 6428832351.

LCM(80173,80187) = 6428832351

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Least Common Multiple of 80173 and 80187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80173 and 80187, than apply into the LCM equation.

GCF(80173,80187) = 1
LCM(80173,80187) = ( 80173 × 80187) / 1
LCM(80173,80187) = 6428832351 / 1
LCM(80173,80187) = 6428832351

Least Common Multiple (LCM) of 80173 and 80187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80173 and 80187. First we will calculate the prime factors of 80173 and 80187.

Prime Factorization of 80173

Prime factors of 80173 are 80173. Prime factorization of 80173 in exponential form is:

80173 = 801731

Prime Factorization of 80187

Prime factors of 80187 are 3, 26729. Prime factorization of 80187 in exponential form is:

80187 = 31 × 267291

Now multiplying the highest exponent prime factors to calculate the LCM of 80173 and 80187.

LCM(80173,80187) = 801731 × 31 × 267291
LCM(80173,80187) = 6428832351