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What is the Least Common Multiple of 43279 and 43294?

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 43279 and 43294 is 1873721026.

LCM(43279,43294) = 1873721026

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Least Common Multiple of 43279 and 43294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43279 and 43294, than apply into the LCM equation.

GCF(43279,43294) = 1
LCM(43279,43294) = ( 43279 × 43294) / 1
LCM(43279,43294) = 1873721026 / 1
LCM(43279,43294) = 1873721026

Least Common Multiple (LCM) of 43279 and 43294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43279 and 43294. First we will calculate the prime factors of 43279 and 43294.

Prime Factorization of 43279

Prime factors of 43279 are 113, 383. Prime factorization of 43279 in exponential form is:

43279 = 1131 × 3831

Prime Factorization of 43294

Prime factors of 43294 are 2, 21647. Prime factorization of 43294 in exponential form is:

43294 = 21 × 216471

Now multiplying the highest exponent prime factors to calculate the LCM of 43279 and 43294.

LCM(43279,43294) = 1131 × 3831 × 21 × 216471
LCM(43279,43294) = 1873721026