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What is the Least Common Multiple of 2564 and 2569?

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 2564 and 2569 is 6586916.

LCM(2564,2569) = 6586916

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Least Common Multiple of 2564 and 2569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2564 and 2569, than apply into the LCM equation.

GCF(2564,2569) = 1
LCM(2564,2569) = ( 2564 × 2569) / 1
LCM(2564,2569) = 6586916 / 1
LCM(2564,2569) = 6586916

Least Common Multiple (LCM) of 2564 and 2569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2564 and 2569. First we will calculate the prime factors of 2564 and 2569.

Prime Factorization of 2564

Prime factors of 2564 are 2, 641. Prime factorization of 2564 in exponential form is:

2564 = 22 × 6411

Prime Factorization of 2569

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

2569 = 71 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 2564 and 2569.

LCM(2564,2569) = 22 × 6411 × 71 × 3671
LCM(2564,2569) = 6586916