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What is the Least Common Multiple of 25797 and 25812?

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 25797 and 25812 is 221957388.

LCM(25797,25812) = 221957388

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Least Common Multiple of 25797 and 25812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25797 and 25812, than apply into the LCM equation.

GCF(25797,25812) = 3
LCM(25797,25812) = ( 25797 × 25812) / 3
LCM(25797,25812) = 665872164 / 3
LCM(25797,25812) = 221957388

Least Common Multiple (LCM) of 25797 and 25812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25797 and 25812. First we will calculate the prime factors of 25797 and 25812.

Prime Factorization of 25797

Prime factors of 25797 are 3, 8599. Prime factorization of 25797 in exponential form is:

25797 = 31 × 85991

Prime Factorization of 25812

Prime factors of 25812 are 2, 3, 239. Prime factorization of 25812 in exponential form is:

25812 = 22 × 33 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 25797 and 25812.

LCM(25797,25812) = 33 × 85991 × 22 × 2391
LCM(25797,25812) = 221957388