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What is the Least Common Multiple of 25456 and 25469?

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 25469 is 648338864.

LCM(25456,25469) = 648338864

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Least Common Multiple of 25456 and 25469 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 25469, than apply into the LCM equation.

GCF(25456,25469) = 1
LCM(25456,25469) = ( 25456 × 25469) / 1
LCM(25456,25469) = 648338864 / 1
LCM(25456,25469) = 648338864

Least Common Multiple (LCM) of 25456 and 25469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25456 and 25469. First we will calculate the prime factors of 25456 and 25469.

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 25469

Prime factors of 25469 are 25469. Prime factorization of 25469 in exponential form is:

25469 = 254691

Now multiplying the highest exponent prime factors to calculate the LCM of 25456 and 25469.

LCM(25456,25469) = 24 × 371 × 431 × 254691
LCM(25456,25469) = 648338864