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What is the Least Common Multiple of 17790 and 17797?

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 17790 and 17797 is 316608630.

LCM(17790,17797) = 316608630

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Least Common Multiple of 17790 and 17797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17790 and 17797, than apply into the LCM equation.

GCF(17790,17797) = 1
LCM(17790,17797) = ( 17790 × 17797) / 1
LCM(17790,17797) = 316608630 / 1
LCM(17790,17797) = 316608630

Least Common Multiple (LCM) of 17790 and 17797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17790 and 17797. First we will calculate the prime factors of 17790 and 17797.

Prime Factorization of 17790

Prime factors of 17790 are 2, 3, 5, 593. Prime factorization of 17790 in exponential form is:

17790 = 21 × 31 × 51 × 5931

Prime Factorization of 17797

Prime factors of 17797 are 13, 37. Prime factorization of 17797 in exponential form is:

17797 = 131 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 17790 and 17797.

LCM(17790,17797) = 21 × 31 × 51 × 5931 × 131 × 372
LCM(17790,17797) = 316608630