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What is the Least Common Multiple of 17795 and 17807?

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 17795 and 17807 is 316875565.

LCM(17795,17807) = 316875565

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Least Common Multiple of 17795 and 17807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17795 and 17807, than apply into the LCM equation.

GCF(17795,17807) = 1
LCM(17795,17807) = ( 17795 × 17807) / 1
LCM(17795,17807) = 316875565 / 1
LCM(17795,17807) = 316875565

Least Common Multiple (LCM) of 17795 and 17807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17795 and 17807. First we will calculate the prime factors of 17795 and 17807.

Prime Factorization of 17795

Prime factors of 17795 are 5, 3559. Prime factorization of 17795 in exponential form is:

17795 = 51 × 35591

Prime Factorization of 17807

Prime factors of 17807 are 17807. Prime factorization of 17807 in exponential form is:

17807 = 178071

Now multiplying the highest exponent prime factors to calculate the LCM of 17795 and 17807.

LCM(17795,17807) = 51 × 35591 × 178071
LCM(17795,17807) = 316875565