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What is the Least Common Multiple of 1566 and 1582?

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 1566 and 1582 is 1238706.

LCM(1566,1582) = 1238706

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Least Common Multiple of 1566 and 1582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1566 and 1582, than apply into the LCM equation.

GCF(1566,1582) = 2
LCM(1566,1582) = ( 1566 × 1582) / 2
LCM(1566,1582) = 2477412 / 2
LCM(1566,1582) = 1238706

Least Common Multiple (LCM) of 1566 and 1582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1566 and 1582. First we will calculate the prime factors of 1566 and 1582.

Prime Factorization of 1566

Prime factors of 1566 are 2, 3, 29. Prime factorization of 1566 in exponential form is:

1566 = 21 × 33 × 291

Prime Factorization of 1582

Prime factors of 1582 are 2, 7, 113. Prime factorization of 1582 in exponential form is:

1582 = 21 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1566 and 1582.

LCM(1566,1582) = 21 × 33 × 291 × 71 × 1131
LCM(1566,1582) = 1238706