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What is the Least Common Multiple of 25251 and 25256?

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 25251 and 25256 is 637739256.

LCM(25251,25256) = 637739256

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Least Common Multiple of 25251 and 25256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25251 and 25256, than apply into the LCM equation.

GCF(25251,25256) = 1
LCM(25251,25256) = ( 25251 × 25256) / 1
LCM(25251,25256) = 637739256 / 1
LCM(25251,25256) = 637739256

Least Common Multiple (LCM) of 25251 and 25256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25251 and 25256. First we will calculate the prime factors of 25251 and 25256.

Prime Factorization of 25251

Prime factors of 25251 are 3, 19, 443. Prime factorization of 25251 in exponential form is:

25251 = 31 × 191 × 4431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 25251 and 25256.

LCM(25251,25256) = 31 × 191 × 4431 × 23 × 71 × 111 × 411
LCM(25251,25256) = 637739256