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What is the Least Common Multiple of 25236 and 25247?

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 25236 and 25247 is 637133292.

LCM(25236,25247) = 637133292

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Least Common Multiple of 25236 and 25247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25236 and 25247, than apply into the LCM equation.

GCF(25236,25247) = 1
LCM(25236,25247) = ( 25236 × 25247) / 1
LCM(25236,25247) = 637133292 / 1
LCM(25236,25247) = 637133292

Least Common Multiple (LCM) of 25236 and 25247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25236 and 25247. First we will calculate the prime factors of 25236 and 25247.

Prime Factorization of 25236

Prime factors of 25236 are 2, 3, 701. Prime factorization of 25236 in exponential form is:

25236 = 22 × 32 × 7011

Prime Factorization of 25247

Prime factors of 25247 are 25247. Prime factorization of 25247 in exponential form is:

25247 = 252471

Now multiplying the highest exponent prime factors to calculate the LCM of 25236 and 25247.

LCM(25236,25247) = 22 × 32 × 7011 × 252471
LCM(25236,25247) = 637133292