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What is the Least Common Multiple of 43115 and 43133?

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 43115 and 43133 is 1859679295.

LCM(43115,43133) = 1859679295

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Least Common Multiple of 43115 and 43133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43115 and 43133, than apply into the LCM equation.

GCF(43115,43133) = 1
LCM(43115,43133) = ( 43115 × 43133) / 1
LCM(43115,43133) = 1859679295 / 1
LCM(43115,43133) = 1859679295

Least Common Multiple (LCM) of 43115 and 43133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43115 and 43133. First we will calculate the prime factors of 43115 and 43133.

Prime Factorization of 43115

Prime factors of 43115 are 5, 8623. Prime factorization of 43115 in exponential form is:

43115 = 51 × 86231

Prime Factorization of 43133

Prime factors of 43133 are 43133. Prime factorization of 43133 in exponential form is:

43133 = 431331

Now multiplying the highest exponent prime factors to calculate the LCM of 43115 and 43133.

LCM(43115,43133) = 51 × 86231 × 431331
LCM(43115,43133) = 1859679295