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What is the Least Common Multiple of 39563 and 39582?

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 39563 and 39582 is 1565982666.

LCM(39563,39582) = 1565982666

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Least Common Multiple of 39563 and 39582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39563 and 39582, than apply into the LCM equation.

GCF(39563,39582) = 1
LCM(39563,39582) = ( 39563 × 39582) / 1
LCM(39563,39582) = 1565982666 / 1
LCM(39563,39582) = 1565982666

Least Common Multiple (LCM) of 39563 and 39582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39563 and 39582. First we will calculate the prime factors of 39563 and 39582.

Prime Factorization of 39563

Prime factors of 39563 are 39563. Prime factorization of 39563 in exponential form is:

39563 = 395631

Prime Factorization of 39582

Prime factors of 39582 are 2, 3, 733. Prime factorization of 39582 in exponential form is:

39582 = 21 × 33 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 39563 and 39582.

LCM(39563,39582) = 395631 × 21 × 33 × 7331
LCM(39563,39582) = 1565982666