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What is the Least Common Multiple of 25456 and 25461?

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 25456 and 25461 is 648135216.

LCM(25456,25461) = 648135216

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Least Common Multiple of 25456 and 25461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25456 and 25461, than apply into the LCM equation.

GCF(25456,25461) = 1
LCM(25456,25461) = ( 25456 × 25461) / 1
LCM(25456,25461) = 648135216 / 1
LCM(25456,25461) = 648135216

Least Common Multiple (LCM) of 25456 and 25461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25456 and 25461. First we will calculate the prime factors of 25456 and 25461.

Prime Factorization of 25456

Prime factors of 25456 are 2, 37, 43. Prime factorization of 25456 in exponential form is:

25456 = 24 × 371 × 431

Prime Factorization of 25461

Prime factors of 25461 are 3, 23, 41. Prime factorization of 25461 in exponential form is:

25461 = 33 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 25456 and 25461.

LCM(25456,25461) = 24 × 371 × 431 × 33 × 231 × 411
LCM(25456,25461) = 648135216