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What is the Least Common Multiple of 2586 and 2590?

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 2586 and 2590 is 3348870.

LCM(2586,2590) = 3348870

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Least Common Multiple of 2586 and 2590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2586 and 2590, than apply into the LCM equation.

GCF(2586,2590) = 2
LCM(2586,2590) = ( 2586 × 2590) / 2
LCM(2586,2590) = 6697740 / 2
LCM(2586,2590) = 3348870

Least Common Multiple (LCM) of 2586 and 2590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2586 and 2590. First we will calculate the prime factors of 2586 and 2590.

Prime Factorization of 2586

Prime factors of 2586 are 2, 3, 431. Prime factorization of 2586 in exponential form is:

2586 = 21 × 31 × 4311

Prime Factorization of 2590

Prime factors of 2590 are 2, 5, 7, 37. Prime factorization of 2590 in exponential form is:

2590 = 21 × 51 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 2586 and 2590.

LCM(2586,2590) = 21 × 31 × 4311 × 51 × 71 × 371
LCM(2586,2590) = 3348870