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What is the Least Common Multiple of 25917 and 25926?

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 25917 and 25926 is 223974714.

LCM(25917,25926) = 223974714

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Least Common Multiple of 25917 and 25926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25917 and 25926, than apply into the LCM equation.

GCF(25917,25926) = 3
LCM(25917,25926) = ( 25917 × 25926) / 3
LCM(25917,25926) = 671924142 / 3
LCM(25917,25926) = 223974714

Least Common Multiple (LCM) of 25917 and 25926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25917 and 25926. First we will calculate the prime factors of 25917 and 25926.

Prime Factorization of 25917

Prime factors of 25917 are 3, 53, 163. Prime factorization of 25917 in exponential form is:

25917 = 31 × 531 × 1631

Prime Factorization of 25926

Prime factors of 25926 are 2, 3, 29, 149. Prime factorization of 25926 in exponential form is:

25926 = 21 × 31 × 291 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 25917 and 25926.

LCM(25917,25926) = 31 × 531 × 1631 × 21 × 291 × 1491
LCM(25917,25926) = 223974714