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What is the Least Common Multiple of 80797 and 80806?

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 80797 and 80806 is 6528882382.

LCM(80797,80806) = 6528882382

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Least Common Multiple of 80797 and 80806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80797 and 80806, than apply into the LCM equation.

GCF(80797,80806) = 1
LCM(80797,80806) = ( 80797 × 80806) / 1
LCM(80797,80806) = 6528882382 / 1
LCM(80797,80806) = 6528882382

Least Common Multiple (LCM) of 80797 and 80806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80797 and 80806. First we will calculate the prime factors of 80797 and 80806.

Prime Factorization of 80797

Prime factors of 80797 are 43, 1879. Prime factorization of 80797 in exponential form is:

80797 = 431 × 18791

Prime Factorization of 80806

Prime factors of 80806 are 2, 11, 3673. Prime factorization of 80806 in exponential form is:

80806 = 21 × 111 × 36731

Now multiplying the highest exponent prime factors to calculate the LCM of 80797 and 80806.

LCM(80797,80806) = 431 × 18791 × 21 × 111 × 36731
LCM(80797,80806) = 6528882382