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What is the Least Common Multiple of 25417 and 25421?

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 25417 and 25421 is 646125557.

LCM(25417,25421) = 646125557

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Least Common Multiple of 25417 and 25421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25417 and 25421, than apply into the LCM equation.

GCF(25417,25421) = 1
LCM(25417,25421) = ( 25417 × 25421) / 1
LCM(25417,25421) = 646125557 / 1
LCM(25417,25421) = 646125557

Least Common Multiple (LCM) of 25417 and 25421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25417 and 25421. First we will calculate the prime factors of 25417 and 25421.

Prime Factorization of 25417

Prime factors of 25417 are 7, 3631. Prime factorization of 25417 in exponential form is:

25417 = 71 × 36311

Prime Factorization of 25421

Prime factors of 25421 are 11, 2311. Prime factorization of 25421 in exponential form is:

25421 = 111 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 25417 and 25421.

LCM(25417,25421) = 71 × 36311 × 111 × 23111
LCM(25417,25421) = 646125557