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What is the Least Common Multiple of 2577 and 2586?

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 2577 and 2586 is 2221374.

LCM(2577,2586) = 2221374

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Least Common Multiple of 2577 and 2586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2577 and 2586, than apply into the LCM equation.

GCF(2577,2586) = 3
LCM(2577,2586) = ( 2577 × 2586) / 3
LCM(2577,2586) = 6664122 / 3
LCM(2577,2586) = 2221374

Least Common Multiple (LCM) of 2577 and 2586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2577 and 2586. First we will calculate the prime factors of 2577 and 2586.

Prime Factorization of 2577

Prime factors of 2577 are 3, 859. Prime factorization of 2577 in exponential form is:

2577 = 31 × 8591

Prime Factorization of 2586

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

2586 = 21 × 31 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 2577 and 2586.

LCM(2577,2586) = 31 × 8591 × 21 × 4311
LCM(2577,2586) = 2221374