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What is the Least Common Multiple of 25897 and 25909?

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 25897 and 25909 is 670965373.

LCM(25897,25909) = 670965373

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Least Common Multiple of 25897 and 25909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25897 and 25909, than apply into the LCM equation.

GCF(25897,25909) = 1
LCM(25897,25909) = ( 25897 × 25909) / 1
LCM(25897,25909) = 670965373 / 1
LCM(25897,25909) = 670965373

Least Common Multiple (LCM) of 25897 and 25909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25897 and 25909. First we will calculate the prime factors of 25897 and 25909.

Prime Factorization of 25897

Prime factors of 25897 are 19, 29, 47. Prime factorization of 25897 in exponential form is:

25897 = 191 × 291 × 471

Prime Factorization of 25909

Prime factors of 25909 are 13, 1993. Prime factorization of 25909 in exponential form is:

25909 = 131 × 19931

Now multiplying the highest exponent prime factors to calculate the LCM of 25897 and 25909.

LCM(25897,25909) = 191 × 291 × 471 × 131 × 19931
LCM(25897,25909) = 670965373