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What is the Least Common Multiple of 17020 and 17038?

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 17020 and 17038 is 144993380.

LCM(17020,17038) = 144993380

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Least Common Multiple of 17020 and 17038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17020 and 17038, than apply into the LCM equation.

GCF(17020,17038) = 2
LCM(17020,17038) = ( 17020 × 17038) / 2
LCM(17020,17038) = 289986760 / 2
LCM(17020,17038) = 144993380

Least Common Multiple (LCM) of 17020 and 17038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17020 and 17038. First we will calculate the prime factors of 17020 and 17038.

Prime Factorization of 17020

Prime factors of 17020 are 2, 5, 23, 37. Prime factorization of 17020 in exponential form is:

17020 = 22 × 51 × 231 × 371

Prime Factorization of 17038

Prime factors of 17038 are 2, 7, 1217. Prime factorization of 17038 in exponential form is:

17038 = 21 × 71 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 17020 and 17038.

LCM(17020,17038) = 22 × 51 × 231 × 371 × 71 × 12171
LCM(17020,17038) = 144993380