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What is the Least Common Multiple of 43582 and 43586?

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 43582 and 43586 is 949782526.

LCM(43582,43586) = 949782526

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Least Common Multiple of 43582 and 43586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43582 and 43586, than apply into the LCM equation.

GCF(43582,43586) = 2
LCM(43582,43586) = ( 43582 × 43586) / 2
LCM(43582,43586) = 1899565052 / 2
LCM(43582,43586) = 949782526

Least Common Multiple (LCM) of 43582 and 43586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43582 and 43586. First we will calculate the prime factors of 43582 and 43586.

Prime Factorization of 43582

Prime factors of 43582 are 2, 7, 11, 283. Prime factorization of 43582 in exponential form is:

43582 = 21 × 71 × 111 × 2831

Prime Factorization of 43586

Prime factors of 43586 are 2, 19, 31, 37. Prime factorization of 43586 in exponential form is:

43586 = 21 × 191 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 43582 and 43586.

LCM(43582,43586) = 21 × 71 × 111 × 2831 × 191 × 311 × 371
LCM(43582,43586) = 949782526