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What is the Least Common Multiple of 17033 and 17040?

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 17033 and 17040 is 290242320.

LCM(17033,17040) = 290242320

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Least Common Multiple of 17033 and 17040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17033 and 17040, than apply into the LCM equation.

GCF(17033,17040) = 1
LCM(17033,17040) = ( 17033 × 17040) / 1
LCM(17033,17040) = 290242320 / 1
LCM(17033,17040) = 290242320

Least Common Multiple (LCM) of 17033 and 17040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17033 and 17040. First we will calculate the prime factors of 17033 and 17040.

Prime Factorization of 17033

Prime factors of 17033 are 17033. Prime factorization of 17033 in exponential form is:

17033 = 170331

Prime Factorization of 17040

Prime factors of 17040 are 2, 3, 5, 71. Prime factorization of 17040 in exponential form is:

17040 = 24 × 31 × 51 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 17033 and 17040.

LCM(17033,17040) = 170331 × 24 × 31 × 51 × 711
LCM(17033,17040) = 290242320