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What is the Least Common Multiple of 25458 and 25478?

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 25458 and 25478 is 324309462.

LCM(25458,25478) = 324309462

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Least Common Multiple of 25458 and 25478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25458 and 25478, than apply into the LCM equation.

GCF(25458,25478) = 2
LCM(25458,25478) = ( 25458 × 25478) / 2
LCM(25458,25478) = 648618924 / 2
LCM(25458,25478) = 324309462

Least Common Multiple (LCM) of 25458 and 25478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25458 and 25478. First we will calculate the prime factors of 25458 and 25478.

Prime Factorization of 25458

Prime factors of 25458 are 2, 3, 4243. Prime factorization of 25458 in exponential form is:

25458 = 21 × 31 × 42431

Prime Factorization of 25478

Prime factors of 25478 are 2, 12739. Prime factorization of 25478 in exponential form is:

25478 = 21 × 127391

Now multiplying the highest exponent prime factors to calculate the LCM of 25458 and 25478.

LCM(25458,25478) = 21 × 31 × 42431 × 127391
LCM(25458,25478) = 324309462