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What is the Least Common Multiple of 80822 and 80841?

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 80822 and 80841 is 6533731302.

LCM(80822,80841) = 6533731302

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Least Common Multiple of 80822 and 80841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80822 and 80841, than apply into the LCM equation.

GCF(80822,80841) = 1
LCM(80822,80841) = ( 80822 × 80841) / 1
LCM(80822,80841) = 6533731302 / 1
LCM(80822,80841) = 6533731302

Least Common Multiple (LCM) of 80822 and 80841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80822 and 80841. First we will calculate the prime factors of 80822 and 80841.

Prime Factorization of 80822

Prime factors of 80822 are 2, 7, 23, 251. Prime factorization of 80822 in exponential form is:

80822 = 21 × 71 × 231 × 2511

Prime Factorization of 80841

Prime factors of 80841 are 3, 26947. Prime factorization of 80841 in exponential form is:

80841 = 31 × 269471

Now multiplying the highest exponent prime factors to calculate the LCM of 80822 and 80841.

LCM(80822,80841) = 21 × 71 × 231 × 2511 × 31 × 269471
LCM(80822,80841) = 6533731302