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What is the Least Common Multiple of 17783 and 17796?

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 17783 and 17796 is 316466268.

LCM(17783,17796) = 316466268

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Least Common Multiple of 17783 and 17796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17783 and 17796, than apply into the LCM equation.

GCF(17783,17796) = 1
LCM(17783,17796) = ( 17783 × 17796) / 1
LCM(17783,17796) = 316466268 / 1
LCM(17783,17796) = 316466268

Least Common Multiple (LCM) of 17783 and 17796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17783 and 17796. First we will calculate the prime factors of 17783 and 17796.

Prime Factorization of 17783

Prime factors of 17783 are 17783. Prime factorization of 17783 in exponential form is:

17783 = 177831

Prime Factorization of 17796

Prime factors of 17796 are 2, 3, 1483. Prime factorization of 17796 in exponential form is:

17796 = 22 × 31 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 17783 and 17796.

LCM(17783,17796) = 177831 × 22 × 31 × 14831
LCM(17783,17796) = 316466268