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What is the Least Common Multiple of 2566 and 2580?

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 2566 and 2580 is 3310140.

LCM(2566,2580) = 3310140

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Least Common Multiple of 2566 and 2580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2566 and 2580, than apply into the LCM equation.

GCF(2566,2580) = 2
LCM(2566,2580) = ( 2566 × 2580) / 2
LCM(2566,2580) = 6620280 / 2
LCM(2566,2580) = 3310140

Least Common Multiple (LCM) of 2566 and 2580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2566 and 2580. First we will calculate the prime factors of 2566 and 2580.

Prime Factorization of 2566

Prime factors of 2566 are 2, 1283. Prime factorization of 2566 in exponential form is:

2566 = 21 × 12831

Prime Factorization of 2580

Prime factors of 2580 are 2, 3, 5, 43. Prime factorization of 2580 in exponential form is:

2580 = 22 × 31 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2566 and 2580.

LCM(2566,2580) = 22 × 12831 × 31 × 51 × 431
LCM(2566,2580) = 3310140