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What is the Least Common Multiple of 17127 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 17127 and 17145 is 32626935.

LCM(17127,17145) = 32626935

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Least Common Multiple of 17127 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 17127 and 17145, than apply into the LCM equation.

GCF(17127,17145) = 9
LCM(17127,17145) = ( 17127 × 17145) / 9
LCM(17127,17145) = 293642415 / 9
LCM(17127,17145) = 32626935

Least Common Multiple (LCM) of 17127 and 17145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17127 and 17145. First we will calculate the prime factors of 17127 and 17145.

Prime Factorization of 17127

Prime factors of 17127 are 3, 11, 173. Prime factorization of 17127 in exponential form is:

17127 = 32 × 111 × 1731

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 17127 and 17145.

LCM(17127,17145) = 33 × 111 × 1731 × 51 × 1271
LCM(17127,17145) = 32626935