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What is the Least Common Multiple of 25898 and 25913?

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 25898 and 25913 is 671094874.

LCM(25898,25913) = 671094874

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Least Common Multiple of 25898 and 25913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25898 and 25913, than apply into the LCM equation.

GCF(25898,25913) = 1
LCM(25898,25913) = ( 25898 × 25913) / 1
LCM(25898,25913) = 671094874 / 1
LCM(25898,25913) = 671094874

Least Common Multiple (LCM) of 25898 and 25913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25898 and 25913. First we will calculate the prime factors of 25898 and 25913.

Prime Factorization of 25898

Prime factors of 25898 are 2, 23, 563. Prime factorization of 25898 in exponential form is:

25898 = 21 × 231 × 5631

Prime Factorization of 25913

Prime factors of 25913 are 25913. Prime factorization of 25913 in exponential form is:

25913 = 259131

Now multiplying the highest exponent prime factors to calculate the LCM of 25898 and 25913.

LCM(25898,25913) = 21 × 231 × 5631 × 259131
LCM(25898,25913) = 671094874