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What is the Least Common Multiple of 2580 and 2593?

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 2580 and 2593 is 6689940.

LCM(2580,2593) = 6689940

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Least Common Multiple of 2580 and 2593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2580 and 2593, than apply into the LCM equation.

GCF(2580,2593) = 1
LCM(2580,2593) = ( 2580 × 2593) / 1
LCM(2580,2593) = 6689940 / 1
LCM(2580,2593) = 6689940

Least Common Multiple (LCM) of 2580 and 2593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2580 and 2593. First we will calculate the prime factors of 2580 and 2593.

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

Prime Factorization of 2593

Prime factors of 2593 are 2593. Prime factorization of 2593 in exponential form is:

2593 = 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 2580 and 2593.

LCM(2580,2593) = 22 × 31 × 51 × 431 × 25931
LCM(2580,2593) = 6689940