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What is the Least Common Multiple of 80839 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 80839 and 80858 is 6536479862.

LCM(80839,80858) = 6536479862

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Least Common Multiple of 80839 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 80839 and 80858, than apply into the LCM equation.

GCF(80839,80858) = 1
LCM(80839,80858) = ( 80839 × 80858) / 1
LCM(80839,80858) = 6536479862 / 1
LCM(80839,80858) = 6536479862

Least Common Multiple (LCM) of 80839 and 80858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80839 and 80858. First we will calculate the prime factors of 80839 and 80858.

Prime Factorization of 80839

Prime factors of 80839 are 11, 7349. Prime factorization of 80839 in exponential form is:

80839 = 111 × 73491

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 80839 and 80858.

LCM(80839,80858) = 111 × 73491 × 21 × 404291
LCM(80839,80858) = 6536479862