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What is the Least Common Multiple of 566 and 582?

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 566 and 582 is 164706.

LCM(566,582) = 164706

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Least Common Multiple of 566 and 582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 566 and 582, than apply into the LCM equation.

GCF(566,582) = 2
LCM(566,582) = ( 566 × 582) / 2
LCM(566,582) = 329412 / 2
LCM(566,582) = 164706

Least Common Multiple (LCM) of 566 and 582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 566 and 582. First we will calculate the prime factors of 566 and 582.

Prime Factorization of 566

Prime factors of 566 are 2, 283. Prime factorization of 566 in exponential form is:

566 = 21 × 2831

Prime Factorization of 582

Prime factors of 582 are 2, 3, 97. Prime factorization of 582 in exponential form is:

582 = 21 × 31 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 566 and 582.

LCM(566,582) = 21 × 2831 × 31 × 971
LCM(566,582) = 164706