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What is the Least Common Multiple of 80841 and 80857?

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 80841 and 80857 is 6536560737.

LCM(80841,80857) = 6536560737

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Least Common Multiple of 80841 and 80857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80841 and 80857, than apply into the LCM equation.

GCF(80841,80857) = 1
LCM(80841,80857) = ( 80841 × 80857) / 1
LCM(80841,80857) = 6536560737 / 1
LCM(80841,80857) = 6536560737

Least Common Multiple (LCM) of 80841 and 80857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80841 and 80857. First we will calculate the prime factors of 80841 and 80857.

Prime Factorization of 80841

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

80841 = 31 × 269471

Prime Factorization of 80857

Prime factors of 80857 are 7, 11551. Prime factorization of 80857 in exponential form is:

80857 = 71 × 115511

Now multiplying the highest exponent prime factors to calculate the LCM of 80841 and 80857.

LCM(80841,80857) = 31 × 269471 × 71 × 115511
LCM(80841,80857) = 6536560737