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What is the Least Common Multiple of 43035 and 43039?

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 43035 and 43039 is 1852183365.

LCM(43035,43039) = 1852183365

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Least Common Multiple of 43035 and 43039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43035 and 43039, than apply into the LCM equation.

GCF(43035,43039) = 1
LCM(43035,43039) = ( 43035 × 43039) / 1
LCM(43035,43039) = 1852183365 / 1
LCM(43035,43039) = 1852183365

Least Common Multiple (LCM) of 43035 and 43039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43035 and 43039. First we will calculate the prime factors of 43035 and 43039.

Prime Factorization of 43035

Prime factors of 43035 are 3, 5, 19, 151. Prime factorization of 43035 in exponential form is:

43035 = 31 × 51 × 191 × 1511

Prime Factorization of 43039

Prime factors of 43039 are 193, 223. Prime factorization of 43039 in exponential form is:

43039 = 1931 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 43035 and 43039.

LCM(43035,43039) = 31 × 51 × 191 × 1511 × 1931 × 2231
LCM(43035,43039) = 1852183365