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What is the Least Common Multiple of 17187 and 17207?

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 17187 and 17207 is 295736709.

LCM(17187,17207) = 295736709

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Least Common Multiple of 17187 and 17207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17187 and 17207, than apply into the LCM equation.

GCF(17187,17207) = 1
LCM(17187,17207) = ( 17187 × 17207) / 1
LCM(17187,17207) = 295736709 / 1
LCM(17187,17207) = 295736709

Least Common Multiple (LCM) of 17187 and 17207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17187 and 17207. First we will calculate the prime factors of 17187 and 17207.

Prime Factorization of 17187

Prime factors of 17187 are 3, 17, 337. Prime factorization of 17187 in exponential form is:

17187 = 31 × 171 × 3371

Prime Factorization of 17207

Prime factors of 17207 are 17207. Prime factorization of 17207 in exponential form is:

17207 = 172071

Now multiplying the highest exponent prime factors to calculate the LCM of 17187 and 17207.

LCM(17187,17207) = 31 × 171 × 3371 × 172071
LCM(17187,17207) = 295736709