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What is the Least Common Multiple of 2561 and 2576?

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 2561 and 2576 is 6597136.

LCM(2561,2576) = 6597136

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Least Common Multiple of 2561 and 2576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2561 and 2576, than apply into the LCM equation.

GCF(2561,2576) = 1
LCM(2561,2576) = ( 2561 × 2576) / 1
LCM(2561,2576) = 6597136 / 1
LCM(2561,2576) = 6597136

Least Common Multiple (LCM) of 2561 and 2576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2561 and 2576. First we will calculate the prime factors of 2561 and 2576.

Prime Factorization of 2561

Prime factors of 2561 are 13, 197. Prime factorization of 2561 in exponential form is:

2561 = 131 × 1971

Prime Factorization of 2576

Prime factors of 2576 are 2, 7, 23. Prime factorization of 2576 in exponential form is:

2576 = 24 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2561 and 2576.

LCM(2561,2576) = 131 × 1971 × 24 × 71 × 231
LCM(2561,2576) = 6597136