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What is the Least Common Multiple of 2569 and 2587?

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 2569 and 2587 is 6646003.

LCM(2569,2587) = 6646003

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Least Common Multiple of 2569 and 2587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2569 and 2587, than apply into the LCM equation.

GCF(2569,2587) = 1
LCM(2569,2587) = ( 2569 × 2587) / 1
LCM(2569,2587) = 6646003 / 1
LCM(2569,2587) = 6646003

Least Common Multiple (LCM) of 2569 and 2587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2569 and 2587. First we will calculate the prime factors of 2569 and 2587.

Prime Factorization of 2569

Prime factors of 2569 are 7, 367. Prime factorization of 2569 in exponential form is:

2569 = 71 × 3671

Prime Factorization of 2587

Prime factors of 2587 are 13, 199. Prime factorization of 2587 in exponential form is:

2587 = 131 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 2569 and 2587.

LCM(2569,2587) = 71 × 3671 × 131 × 1991
LCM(2569,2587) = 6646003