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What is the Least Common Multiple of 25959 and 25976?

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 25959 and 25976 is 39665352.

LCM(25959,25976) = 39665352

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Least Common Multiple of 25959 and 25976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25959 and 25976, than apply into the LCM equation.

GCF(25959,25976) = 17
LCM(25959,25976) = ( 25959 × 25976) / 17
LCM(25959,25976) = 674310984 / 17
LCM(25959,25976) = 39665352

Least Common Multiple (LCM) of 25959 and 25976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25959 and 25976. First we will calculate the prime factors of 25959 and 25976.

Prime Factorization of 25959

Prime factors of 25959 are 3, 17, 509. Prime factorization of 25959 in exponential form is:

25959 = 31 × 171 × 5091

Prime Factorization of 25976

Prime factors of 25976 are 2, 17, 191. Prime factorization of 25976 in exponential form is:

25976 = 23 × 171 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 25959 and 25976.

LCM(25959,25976) = 31 × 171 × 5091 × 23 × 1911
LCM(25959,25976) = 39665352