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What is the Least Common Multiple of 17386 and 17404?

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 17386 and 17404 is 151292972.

LCM(17386,17404) = 151292972

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Least Common Multiple of 17386 and 17404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17386 and 17404, than apply into the LCM equation.

GCF(17386,17404) = 2
LCM(17386,17404) = ( 17386 × 17404) / 2
LCM(17386,17404) = 302585944 / 2
LCM(17386,17404) = 151292972

Least Common Multiple (LCM) of 17386 and 17404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17386 and 17404. First we will calculate the prime factors of 17386 and 17404.

Prime Factorization of 17386

Prime factors of 17386 are 2, 8693. Prime factorization of 17386 in exponential form is:

17386 = 21 × 86931

Prime Factorization of 17404

Prime factors of 17404 are 2, 19, 229. Prime factorization of 17404 in exponential form is:

17404 = 22 × 191 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 17386 and 17404.

LCM(17386,17404) = 22 × 86931 × 191 × 2291
LCM(17386,17404) = 151292972