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What is the Least Common Multiple of 25587 and 25605?

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 25587 and 25605 is 72795015.

LCM(25587,25605) = 72795015

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Least Common Multiple of 25587 and 25605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25587 and 25605, than apply into the LCM equation.

GCF(25587,25605) = 9
LCM(25587,25605) = ( 25587 × 25605) / 9
LCM(25587,25605) = 655155135 / 9
LCM(25587,25605) = 72795015

Least Common Multiple (LCM) of 25587 and 25605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25587 and 25605. First we will calculate the prime factors of 25587 and 25605.

Prime Factorization of 25587

Prime factors of 25587 are 3, 2843. Prime factorization of 25587 in exponential form is:

25587 = 32 × 28431

Prime Factorization of 25605

Prime factors of 25605 are 3, 5, 569. Prime factorization of 25605 in exponential form is:

25605 = 32 × 51 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 25587 and 25605.

LCM(25587,25605) = 32 × 28431 × 51 × 5691
LCM(25587,25605) = 72795015