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What is the Least Common Multiple of 17121 and 17125?

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 17121 and 17125 is 293197125.

LCM(17121,17125) = 293197125

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Least Common Multiple of 17121 and 17125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17121 and 17125, than apply into the LCM equation.

GCF(17121,17125) = 1
LCM(17121,17125) = ( 17121 × 17125) / 1
LCM(17121,17125) = 293197125 / 1
LCM(17121,17125) = 293197125

Least Common Multiple (LCM) of 17121 and 17125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17121 and 17125. First we will calculate the prime factors of 17121 and 17125.

Prime Factorization of 17121

Prime factors of 17121 are 3, 13, 439. Prime factorization of 17121 in exponential form is:

17121 = 31 × 131 × 4391

Prime Factorization of 17125

Prime factors of 17125 are 5, 137. Prime factorization of 17125 in exponential form is:

17125 = 53 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 17121 and 17125.

LCM(17121,17125) = 31 × 131 × 4391 × 53 × 1371
LCM(17121,17125) = 293197125