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What is the Least Common Multiple of 17021 and 17034?

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 17021 and 17034 is 289935714.

LCM(17021,17034) = 289935714

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Least Common Multiple of 17021 and 17034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17021 and 17034, than apply into the LCM equation.

GCF(17021,17034) = 1
LCM(17021,17034) = ( 17021 × 17034) / 1
LCM(17021,17034) = 289935714 / 1
LCM(17021,17034) = 289935714

Least Common Multiple (LCM) of 17021 and 17034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17021 and 17034. First we will calculate the prime factors of 17021 and 17034.

Prime Factorization of 17021

Prime factors of 17021 are 17021. Prime factorization of 17021 in exponential form is:

17021 = 170211

Prime Factorization of 17034

Prime factors of 17034 are 2, 3, 17, 167. Prime factorization of 17034 in exponential form is:

17034 = 21 × 31 × 171 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 17021 and 17034.

LCM(17021,17034) = 170211 × 21 × 31 × 171 × 1671
LCM(17021,17034) = 289935714