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What is the Least Common Multiple of 17026 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 17026 and 17035 is 290037910.

LCM(17026,17035) = 290037910

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Least Common Multiple of 17026 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 17026 and 17035, than apply into the LCM equation.

GCF(17026,17035) = 1
LCM(17026,17035) = ( 17026 × 17035) / 1
LCM(17026,17035) = 290037910 / 1
LCM(17026,17035) = 290037910

Least Common Multiple (LCM) of 17026 and 17035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17026 and 17035. First we will calculate the prime factors of 17026 and 17035.

Prime Factorization of 17026

Prime factors of 17026 are 2, 8513. Prime factorization of 17026 in exponential form is:

17026 = 21 × 85131

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 17026 and 17035.

LCM(17026,17035) = 21 × 85131 × 51 × 34071
LCM(17026,17035) = 290037910