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What is the Least Common Multiple of 25409 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 25409 and 25421 is 645922189.

LCM(25409,25421) = 645922189

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Least Common Multiple of 25409 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 25409 and 25421, than apply into the LCM equation.

GCF(25409,25421) = 1
LCM(25409,25421) = ( 25409 × 25421) / 1
LCM(25409,25421) = 645922189 / 1
LCM(25409,25421) = 645922189

Least Common Multiple (LCM) of 25409 and 25421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25409 and 25421. First we will calculate the prime factors of 25409 and 25421.

Prime Factorization of 25409

Prime factors of 25409 are 25409. Prime factorization of 25409 in exponential form is:

25409 = 254091

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 25409 and 25421.

LCM(25409,25421) = 254091 × 111 × 23111
LCM(25409,25421) = 645922189