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What is the Least Common Multiple of 17052 and 17066?

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 17052 and 17066 is 20786388.

LCM(17052,17066) = 20786388

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Least Common Multiple of 17052 and 17066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17052 and 17066, than apply into the LCM equation.

GCF(17052,17066) = 14
LCM(17052,17066) = ( 17052 × 17066) / 14
LCM(17052,17066) = 291009432 / 14
LCM(17052,17066) = 20786388

Least Common Multiple (LCM) of 17052 and 17066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17052 and 17066. First we will calculate the prime factors of 17052 and 17066.

Prime Factorization of 17052

Prime factors of 17052 are 2, 3, 7, 29. Prime factorization of 17052 in exponential form is:

17052 = 22 × 31 × 72 × 291

Prime Factorization of 17066

Prime factors of 17066 are 2, 7, 23, 53. Prime factorization of 17066 in exponential form is:

17066 = 21 × 71 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 17052 and 17066.

LCM(17052,17066) = 22 × 31 × 72 × 291 × 231 × 531
LCM(17052,17066) = 20786388