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What is the Least Common Multiple of 17128 and 17145?

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 17128 and 17145 is 293659560.

LCM(17128,17145) = 293659560

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Least Common Multiple of 17128 and 17145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17128 and 17145, than apply into the LCM equation.

GCF(17128,17145) = 1
LCM(17128,17145) = ( 17128 × 17145) / 1
LCM(17128,17145) = 293659560 / 1
LCM(17128,17145) = 293659560

Least Common Multiple (LCM) of 17128 and 17145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17128 and 17145. First we will calculate the prime factors of 17128 and 17145.

Prime Factorization of 17128

Prime factors of 17128 are 2, 2141. Prime factorization of 17128 in exponential form is:

17128 = 23 × 21411

Prime Factorization of 17145

Prime factors of 17145 are 3, 5, 127. Prime factorization of 17145 in exponential form is:

17145 = 33 × 51 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 17128 and 17145.

LCM(17128,17145) = 23 × 21411 × 33 × 51 × 1271
LCM(17128,17145) = 293659560