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What is the Least Common Multiple of 82849 and 82869?

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 82849 and 82869 is 6865613781.

LCM(82849,82869) = 6865613781

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Least Common Multiple of 82849 and 82869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82849 and 82869, than apply into the LCM equation.

GCF(82849,82869) = 1
LCM(82849,82869) = ( 82849 × 82869) / 1
LCM(82849,82869) = 6865613781 / 1
LCM(82849,82869) = 6865613781

Least Common Multiple (LCM) of 82849 and 82869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82849 and 82869. First we will calculate the prime factors of 82849 and 82869.

Prime Factorization of 82849

Prime factors of 82849 are 13, 6373. Prime factorization of 82849 in exponential form is:

82849 = 131 × 63731

Prime Factorization of 82869

Prime factors of 82869 are 3, 23, 1201. Prime factorization of 82869 in exponential form is:

82869 = 31 × 231 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 82849 and 82869.

LCM(82849,82869) = 131 × 63731 × 31 × 231 × 12011
LCM(82849,82869) = 6865613781