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What is the Least Common Multiple of 80858 and 80877?

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 80858 and 80877 is 6539552466.

LCM(80858,80877) = 6539552466

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Least Common Multiple of 80858 and 80877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80858 and 80877, than apply into the LCM equation.

GCF(80858,80877) = 1
LCM(80858,80877) = ( 80858 × 80877) / 1
LCM(80858,80877) = 6539552466 / 1
LCM(80858,80877) = 6539552466

Least Common Multiple (LCM) of 80858 and 80877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80858 and 80877. First we will calculate the prime factors of 80858 and 80877.

Prime Factorization of 80858

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

80858 = 21 × 404291

Prime Factorization of 80877

Prime factors of 80877 are 3, 26959. Prime factorization of 80877 in exponential form is:

80877 = 31 × 269591

Now multiplying the highest exponent prime factors to calculate the LCM of 80858 and 80877.

LCM(80858,80877) = 21 × 404291 × 31 × 269591
LCM(80858,80877) = 6539552466