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What is the Least Common Multiple of 80843 and 80859?

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 80859 is 6536884137.

LCM(80843,80859) = 6536884137

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Least Common Multiple of 80843 and 80859 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 80859, than apply into the LCM equation.

GCF(80843,80859) = 1
LCM(80843,80859) = ( 80843 × 80859) / 1
LCM(80843,80859) = 6536884137 / 1
LCM(80843,80859) = 6536884137

Least Common Multiple (LCM) of 80843 and 80859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80843 and 80859. First we will calculate the prime factors of 80843 and 80859.

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 80859

Prime factors of 80859 are 3, 26953. Prime factorization of 80859 in exponential form is:

80859 = 31 × 269531

Now multiplying the highest exponent prime factors to calculate the LCM of 80843 and 80859.

LCM(80843,80859) = 71 × 115491 × 31 × 269531
LCM(80843,80859) = 6536884137