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What is the Least Common Multiple of 17051 and 17068?

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 17051 and 17068 is 17119204.

LCM(17051,17068) = 17119204

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Least Common Multiple of 17051 and 17068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17051 and 17068, than apply into the LCM equation.

GCF(17051,17068) = 17
LCM(17051,17068) = ( 17051 × 17068) / 17
LCM(17051,17068) = 291026468 / 17
LCM(17051,17068) = 17119204

Least Common Multiple (LCM) of 17051 and 17068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17051 and 17068. First we will calculate the prime factors of 17051 and 17068.

Prime Factorization of 17051

Prime factors of 17051 are 17, 59. Prime factorization of 17051 in exponential form is:

17051 = 172 × 591

Prime Factorization of 17068

Prime factors of 17068 are 2, 17, 251. Prime factorization of 17068 in exponential form is:

17068 = 22 × 171 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 17051 and 17068.

LCM(17051,17068) = 172 × 591 × 22 × 2511
LCM(17051,17068) = 17119204