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What is the Least Common Multiple of 17030 and 17045?

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 17030 and 17045 is 58055270.

LCM(17030,17045) = 58055270

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Least Common Multiple of 17030 and 17045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17030 and 17045, than apply into the LCM equation.

GCF(17030,17045) = 5
LCM(17030,17045) = ( 17030 × 17045) / 5
LCM(17030,17045) = 290276350 / 5
LCM(17030,17045) = 58055270

Least Common Multiple (LCM) of 17030 and 17045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17030 and 17045. First we will calculate the prime factors of 17030 and 17045.

Prime Factorization of 17030

Prime factors of 17030 are 2, 5, 13, 131. Prime factorization of 17030 in exponential form is:

17030 = 21 × 51 × 131 × 1311

Prime Factorization of 17045

Prime factors of 17045 are 5, 7, 487. Prime factorization of 17045 in exponential form is:

17045 = 51 × 71 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 17030 and 17045.

LCM(17030,17045) = 21 × 51 × 131 × 1311 × 71 × 4871
LCM(17030,17045) = 58055270