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What is the Least Common Multiple of 18797 and 18806?

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 18797 and 18806 is 353496382.

LCM(18797,18806) = 353496382

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Least Common Multiple of 18797 and 18806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18797 and 18806, than apply into the LCM equation.

GCF(18797,18806) = 1
LCM(18797,18806) = ( 18797 × 18806) / 1
LCM(18797,18806) = 353496382 / 1
LCM(18797,18806) = 353496382

Least Common Multiple (LCM) of 18797 and 18806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18797 and 18806. First we will calculate the prime factors of 18797 and 18806.

Prime Factorization of 18797

Prime factors of 18797 are 18797. Prime factorization of 18797 in exponential form is:

18797 = 187971

Prime Factorization of 18806

Prime factors of 18806 are 2, 9403. Prime factorization of 18806 in exponential form is:

18806 = 21 × 94031

Now multiplying the highest exponent prime factors to calculate the LCM of 18797 and 18806.

LCM(18797,18806) = 187971 × 21 × 94031
LCM(18797,18806) = 353496382