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What is the Least Common Multiple of 80843 and 80858?

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 80843 and 80858 is 6536803294.

LCM(80843,80858) = 6536803294

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Least Common Multiple of 80843 and 80858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80843 and 80858, than apply into the LCM equation.

GCF(80843,80858) = 1
LCM(80843,80858) = ( 80843 × 80858) / 1
LCM(80843,80858) = 6536803294 / 1
LCM(80843,80858) = 6536803294

Least Common Multiple (LCM) of 80843 and 80858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80843 and 80858. First we will calculate the prime factors of 80843 and 80858.

Prime Factorization of 80843

Prime factors of 80843 are 7, 11549. Prime factorization of 80843 in exponential form is:

80843 = 71 × 115491

Prime Factorization of 80858

Prime factors of 80858 are 2, 40429. Prime factorization of 80858 in exponential form is:

80858 = 21 × 404291

Now multiplying the highest exponent prime factors to calculate the LCM of 80843 and 80858.

LCM(80843,80858) = 71 × 115491 × 21 × 404291
LCM(80843,80858) = 6536803294