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What is the Least Common Multiple of 43107 and 43126?

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 43107 and 43126 is 1859032482.

LCM(43107,43126) = 1859032482

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Least Common Multiple of 43107 and 43126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43107 and 43126, than apply into the LCM equation.

GCF(43107,43126) = 1
LCM(43107,43126) = ( 43107 × 43126) / 1
LCM(43107,43126) = 1859032482 / 1
LCM(43107,43126) = 1859032482

Least Common Multiple (LCM) of 43107 and 43126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43107 and 43126. First we will calculate the prime factors of 43107 and 43126.

Prime Factorization of 43107

Prime factors of 43107 are 3, 14369. Prime factorization of 43107 in exponential form is:

43107 = 31 × 143691

Prime Factorization of 43126

Prime factors of 43126 are 2, 21563. Prime factorization of 43126 in exponential form is:

43126 = 21 × 215631

Now multiplying the highest exponent prime factors to calculate the LCM of 43107 and 43126.

LCM(43107,43126) = 31 × 143691 × 21 × 215631
LCM(43107,43126) = 1859032482