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What is the Least Common Multiple of 80837 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 80837 and 80841 is 6534943917.

LCM(80837,80841) = 6534943917

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Least Common Multiple of 80837 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 80837 and 80841, than apply into the LCM equation.

GCF(80837,80841) = 1
LCM(80837,80841) = ( 80837 × 80841) / 1
LCM(80837,80841) = 6534943917 / 1
LCM(80837,80841) = 6534943917

Least Common Multiple (LCM) of 80837 and 80841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80837 and 80841. First we will calculate the prime factors of 80837 and 80841.

Prime Factorization of 80837

Prime factors of 80837 are 229, 353. Prime factorization of 80837 in exponential form is:

80837 = 2291 × 3531

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 80837 and 80841.

LCM(80837,80841) = 2291 × 3531 × 31 × 269471
LCM(80837,80841) = 6534943917