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What is the Least Common Multiple of 28017 and 28033?

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 28017 and 28033 is 785400561.

LCM(28017,28033) = 785400561

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Least Common Multiple of 28017 and 28033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28017 and 28033, than apply into the LCM equation.

GCF(28017,28033) = 1
LCM(28017,28033) = ( 28017 × 28033) / 1
LCM(28017,28033) = 785400561 / 1
LCM(28017,28033) = 785400561

Least Common Multiple (LCM) of 28017 and 28033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28017 and 28033. First we will calculate the prime factors of 28017 and 28033.

Prime Factorization of 28017

Prime factors of 28017 are 3, 11, 283. Prime factorization of 28017 in exponential form is:

28017 = 32 × 111 × 2831

Prime Factorization of 28033

Prime factors of 28033 are 17, 97. Prime factorization of 28033 in exponential form is:

28033 = 172 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 28017 and 28033.

LCM(28017,28033) = 32 × 111 × 2831 × 172 × 971
LCM(28017,28033) = 785400561