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What is the Least Common Multiple of 43027 and 43033?

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 43027 and 43033 is 1851580891.

LCM(43027,43033) = 1851580891

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Least Common Multiple of 43027 and 43033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43027 and 43033, than apply into the LCM equation.

GCF(43027,43033) = 1
LCM(43027,43033) = ( 43027 × 43033) / 1
LCM(43027,43033) = 1851580891 / 1
LCM(43027,43033) = 1851580891

Least Common Multiple (LCM) of 43027 and 43033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43027 and 43033. First we will calculate the prime factors of 43027 and 43033.

Prime Factorization of 43027

Prime factors of 43027 are 17, 2531. Prime factorization of 43027 in exponential form is:

43027 = 171 × 25311

Prime Factorization of 43033

Prime factors of 43033 are 23, 1871. Prime factorization of 43033 in exponential form is:

43033 = 231 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 43027 and 43033.

LCM(43027,43033) = 171 × 25311 × 231 × 18711
LCM(43027,43033) = 1851580891