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What is the Least Common Multiple of 17807 and 17811?

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 17807 and 17811 is 317160477.

LCM(17807,17811) = 317160477

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Least Common Multiple of 17807 and 17811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17807 and 17811, than apply into the LCM equation.

GCF(17807,17811) = 1
LCM(17807,17811) = ( 17807 × 17811) / 1
LCM(17807,17811) = 317160477 / 1
LCM(17807,17811) = 317160477

Least Common Multiple (LCM) of 17807 and 17811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17807 and 17811. First we will calculate the prime factors of 17807 and 17811.

Prime Factorization of 17807

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

17807 = 178071

Prime Factorization of 17811

Prime factors of 17811 are 3, 1979. Prime factorization of 17811 in exponential form is:

17811 = 32 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 17807 and 17811.

LCM(17807,17811) = 178071 × 32 × 19791
LCM(17807,17811) = 317160477