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What is the Least Common Multiple of 17002 and 17020?

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 17002 and 17020 is 144687020.

LCM(17002,17020) = 144687020

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Least Common Multiple of 17002 and 17020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17002 and 17020, than apply into the LCM equation.

GCF(17002,17020) = 2
LCM(17002,17020) = ( 17002 × 17020) / 2
LCM(17002,17020) = 289374040 / 2
LCM(17002,17020) = 144687020

Least Common Multiple (LCM) of 17002 and 17020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17002 and 17020. First we will calculate the prime factors of 17002 and 17020.

Prime Factorization of 17002

Prime factors of 17002 are 2, 8501. Prime factorization of 17002 in exponential form is:

17002 = 21 × 85011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17002 and 17020.

LCM(17002,17020) = 22 × 85011 × 51 × 231 × 371
LCM(17002,17020) = 144687020