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What is the Least Common Multiple of 25580 and 25599?

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 25580 and 25599 is 654822420.

LCM(25580,25599) = 654822420

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Least Common Multiple of 25580 and 25599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25580 and 25599, than apply into the LCM equation.

GCF(25580,25599) = 1
LCM(25580,25599) = ( 25580 × 25599) / 1
LCM(25580,25599) = 654822420 / 1
LCM(25580,25599) = 654822420

Least Common Multiple (LCM) of 25580 and 25599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25580 and 25599. First we will calculate the prime factors of 25580 and 25599.

Prime Factorization of 25580

Prime factors of 25580 are 2, 5, 1279. Prime factorization of 25580 in exponential form is:

25580 = 22 × 51 × 12791

Prime Factorization of 25599

Prime factors of 25599 are 3, 7, 23, 53. Prime factorization of 25599 in exponential form is:

25599 = 31 × 71 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 25580 and 25599.

LCM(25580,25599) = 22 × 51 × 12791 × 31 × 71 × 231 × 531
LCM(25580,25599) = 654822420