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What is the Least Common Multiple of 2601 and 2605?

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 2601 and 2605 is 6775605.

LCM(2601,2605) = 6775605

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Least Common Multiple of 2601 and 2605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2601 and 2605, than apply into the LCM equation.

GCF(2601,2605) = 1
LCM(2601,2605) = ( 2601 × 2605) / 1
LCM(2601,2605) = 6775605 / 1
LCM(2601,2605) = 6775605

Least Common Multiple (LCM) of 2601 and 2605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2601 and 2605. First we will calculate the prime factors of 2601 and 2605.

Prime Factorization of 2601

Prime factors of 2601 are 3, 17. Prime factorization of 2601 in exponential form is:

2601 = 32 × 172

Prime Factorization of 2605

Prime factors of 2605 are 5, 521. Prime factorization of 2605 in exponential form is:

2605 = 51 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 2601 and 2605.

LCM(2601,2605) = 32 × 172 × 51 × 5211
LCM(2601,2605) = 6775605