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What is the Least Common Multiple of 17020 and 17035?

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 17035 is 57987140.

LCM(17020,17035) = 57987140

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Least Common Multiple of 17020 and 17035 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 17035, than apply into the LCM equation.

GCF(17020,17035) = 5
LCM(17020,17035) = ( 17020 × 17035) / 5
LCM(17020,17035) = 289935700 / 5
LCM(17020,17035) = 57987140

Least Common Multiple (LCM) of 17020 and 17035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17020 and 17035. First we will calculate the prime factors of 17020 and 17035.

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 17035

Prime factors of 17035 are 5, 3407. Prime factorization of 17035 in exponential form is:

17035 = 51 × 34071

Now multiplying the highest exponent prime factors to calculate the LCM of 17020 and 17035.

LCM(17020,17035) = 22 × 51 × 231 × 371 × 34071
LCM(17020,17035) = 57987140