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What is the Least Common Multiple of 27582 and 27586?

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 27582 and 27586 is 380438526.

LCM(27582,27586) = 380438526

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Least Common Multiple of 27582 and 27586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27582 and 27586, than apply into the LCM equation.

GCF(27582,27586) = 2
LCM(27582,27586) = ( 27582 × 27586) / 2
LCM(27582,27586) = 760877052 / 2
LCM(27582,27586) = 380438526

Least Common Multiple (LCM) of 27582 and 27586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27582 and 27586. First we will calculate the prime factors of 27582 and 27586.

Prime Factorization of 27582

Prime factors of 27582 are 2, 3, 4597. Prime factorization of 27582 in exponential form is:

27582 = 21 × 31 × 45971

Prime Factorization of 27586

Prime factors of 27586 are 2, 13, 1061. Prime factorization of 27586 in exponential form is:

27586 = 21 × 131 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 27582 and 27586.

LCM(27582,27586) = 21 × 31 × 45971 × 131 × 10611
LCM(27582,27586) = 380438526