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What is the Least Common Multiple of 25955 and 25959?

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 25955 and 25959 is 673765845.

LCM(25955,25959) = 673765845

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Least Common Multiple of 25955 and 25959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25955 and 25959, than apply into the LCM equation.

GCF(25955,25959) = 1
LCM(25955,25959) = ( 25955 × 25959) / 1
LCM(25955,25959) = 673765845 / 1
LCM(25955,25959) = 673765845

Least Common Multiple (LCM) of 25955 and 25959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25955 and 25959. First we will calculate the prime factors of 25955 and 25959.

Prime Factorization of 25955

Prime factors of 25955 are 5, 29, 179. Prime factorization of 25955 in exponential form is:

25955 = 51 × 291 × 1791

Prime Factorization of 25959

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

25959 = 31 × 171 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 25955 and 25959.

LCM(25955,25959) = 51 × 291 × 1791 × 31 × 171 × 5091
LCM(25955,25959) = 673765845