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What is the Least Common Multiple of 25395 and 25406?

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 25395 and 25406 is 645185370.

LCM(25395,25406) = 645185370

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Least Common Multiple of 25395 and 25406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25395 and 25406, than apply into the LCM equation.

GCF(25395,25406) = 1
LCM(25395,25406) = ( 25395 × 25406) / 1
LCM(25395,25406) = 645185370 / 1
LCM(25395,25406) = 645185370

Least Common Multiple (LCM) of 25395 and 25406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25395 and 25406. First we will calculate the prime factors of 25395 and 25406.

Prime Factorization of 25395

Prime factors of 25395 are 3, 5, 1693. Prime factorization of 25395 in exponential form is:

25395 = 31 × 51 × 16931

Prime Factorization of 25406

Prime factors of 25406 are 2, 12703. Prime factorization of 25406 in exponential form is:

25406 = 21 × 127031

Now multiplying the highest exponent prime factors to calculate the LCM of 25395 and 25406.

LCM(25395,25406) = 31 × 51 × 16931 × 21 × 127031
LCM(25395,25406) = 645185370