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What is the Least Common Multiple of 25609 and 25613?

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 25609 and 25613 is 655923317.

LCM(25609,25613) = 655923317

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Least Common Multiple of 25609 and 25613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25609 and 25613, than apply into the LCM equation.

GCF(25609,25613) = 1
LCM(25609,25613) = ( 25609 × 25613) / 1
LCM(25609,25613) = 655923317 / 1
LCM(25609,25613) = 655923317

Least Common Multiple (LCM) of 25609 and 25613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25609 and 25613. First we will calculate the prime factors of 25609 and 25613.

Prime Factorization of 25609

Prime factors of 25609 are 25609. Prime factorization of 25609 in exponential form is:

25609 = 256091

Prime Factorization of 25613

Prime factors of 25613 are 7, 3659. Prime factorization of 25613 in exponential form is:

25613 = 71 × 36591

Now multiplying the highest exponent prime factors to calculate the LCM of 25609 and 25613.

LCM(25609,25613) = 256091 × 71 × 36591
LCM(25609,25613) = 655923317