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What is the Least Common Multiple of 25256 and 25276?

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 25256 and 25276 is 159592664.

LCM(25256,25276) = 159592664

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Least Common Multiple of 25256 and 25276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25256 and 25276, than apply into the LCM equation.

GCF(25256,25276) = 4
LCM(25256,25276) = ( 25256 × 25276) / 4
LCM(25256,25276) = 638370656 / 4
LCM(25256,25276) = 159592664

Least Common Multiple (LCM) of 25256 and 25276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25256 and 25276. First we will calculate the prime factors of 25256 and 25276.

Prime Factorization of 25256

Prime factors of 25256 are 2, 7, 11, 41. Prime factorization of 25256 in exponential form is:

25256 = 23 × 71 × 111 × 411

Prime Factorization of 25276

Prime factors of 25276 are 2, 71, 89. Prime factorization of 25276 in exponential form is:

25276 = 22 × 711 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 25256 and 25276.

LCM(25256,25276) = 23 × 71 × 111 × 411 × 711 × 891
LCM(25256,25276) = 159592664