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What is the Least Common Multiple of 25573 and 25588?

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 25573 and 25588 is 654361924.

LCM(25573,25588) = 654361924

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Least Common Multiple of 25573 and 25588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25573 and 25588, than apply into the LCM equation.

GCF(25573,25588) = 1
LCM(25573,25588) = ( 25573 × 25588) / 1
LCM(25573,25588) = 654361924 / 1
LCM(25573,25588) = 654361924

Least Common Multiple (LCM) of 25573 and 25588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25573 and 25588. First we will calculate the prime factors of 25573 and 25588.

Prime Factorization of 25573

Prime factors of 25573 are 107, 239. Prime factorization of 25573 in exponential form is:

25573 = 1071 × 2391

Prime Factorization of 25588

Prime factors of 25588 are 2, 6397. Prime factorization of 25588 in exponential form is:

25588 = 22 × 63971

Now multiplying the highest exponent prime factors to calculate the LCM of 25573 and 25588.

LCM(25573,25588) = 1071 × 2391 × 22 × 63971
LCM(25573,25588) = 654361924