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What is the Least Common Multiple of 17806 and 17823?

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 17806 and 17823 is 317356338.

LCM(17806,17823) = 317356338

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Least Common Multiple of 17806 and 17823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17806 and 17823, than apply into the LCM equation.

GCF(17806,17823) = 1
LCM(17806,17823) = ( 17806 × 17823) / 1
LCM(17806,17823) = 317356338 / 1
LCM(17806,17823) = 317356338

Least Common Multiple (LCM) of 17806 and 17823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17806 and 17823. First we will calculate the prime factors of 17806 and 17823.

Prime Factorization of 17806

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

17806 = 21 × 291 × 3071

Prime Factorization of 17823

Prime factors of 17823 are 3, 13, 457. Prime factorization of 17823 in exponential form is:

17823 = 31 × 131 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 17806 and 17823.

LCM(17806,17823) = 21 × 291 × 3071 × 31 × 131 × 4571
LCM(17806,17823) = 317356338