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What is the Least Common Multiple of 17791 and 17806?

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 17791 and 17806 is 316786546.

LCM(17791,17806) = 316786546

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Least Common Multiple of 17791 and 17806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17791 and 17806, than apply into the LCM equation.

GCF(17791,17806) = 1
LCM(17791,17806) = ( 17791 × 17806) / 1
LCM(17791,17806) = 316786546 / 1
LCM(17791,17806) = 316786546

Least Common Multiple (LCM) of 17791 and 17806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17791 and 17806. First we will calculate the prime factors of 17791 and 17806.

Prime Factorization of 17791

Prime factors of 17791 are 17791. Prime factorization of 17791 in exponential form is:

17791 = 177911

Prime Factorization of 17806

Prime factors of 17806 are 2, 29, 307. Prime factorization of 17806 in exponential form is:

17806 = 21 × 291 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 17791 and 17806.

LCM(17791,17806) = 177911 × 21 × 291 × 3071
LCM(17791,17806) = 316786546