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What is the Least Common Multiple of 17034 and 17041?

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 17034 and 17041 is 290276394.

LCM(17034,17041) = 290276394

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Least Common Multiple of 17034 and 17041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17034 and 17041, than apply into the LCM equation.

GCF(17034,17041) = 1
LCM(17034,17041) = ( 17034 × 17041) / 1
LCM(17034,17041) = 290276394 / 1
LCM(17034,17041) = 290276394

Least Common Multiple (LCM) of 17034 and 17041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17034 and 17041. First we will calculate the prime factors of 17034 and 17041.

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

Prime Factorization of 17041

Prime factors of 17041 are 17041. Prime factorization of 17041 in exponential form is:

17041 = 170411

Now multiplying the highest exponent prime factors to calculate the LCM of 17034 and 17041.

LCM(17034,17041) = 21 × 31 × 171 × 1671 × 170411
LCM(17034,17041) = 290276394