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What is the Least Common Multiple of 17048 and 17058?

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 17048 and 17058 is 145402392.

LCM(17048,17058) = 145402392

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Least Common Multiple of 17048 and 17058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17048 and 17058, than apply into the LCM equation.

GCF(17048,17058) = 2
LCM(17048,17058) = ( 17048 × 17058) / 2
LCM(17048,17058) = 290804784 / 2
LCM(17048,17058) = 145402392

Least Common Multiple (LCM) of 17048 and 17058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17048 and 17058. First we will calculate the prime factors of 17048 and 17058.

Prime Factorization of 17048

Prime factors of 17048 are 2, 2131. Prime factorization of 17048 in exponential form is:

17048 = 23 × 21311

Prime Factorization of 17058

Prime factors of 17058 are 2, 3, 2843. Prime factorization of 17058 in exponential form is:

17058 = 21 × 31 × 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 17048 and 17058.

LCM(17048,17058) = 23 × 21311 × 31 × 28431
LCM(17048,17058) = 145402392