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What is the Least Common Multiple of 25231 and 25241?

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 25231 and 25241 is 636855671.

LCM(25231,25241) = 636855671

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Least Common Multiple of 25231 and 25241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25231 and 25241, than apply into the LCM equation.

GCF(25231,25241) = 1
LCM(25231,25241) = ( 25231 × 25241) / 1
LCM(25231,25241) = 636855671 / 1
LCM(25231,25241) = 636855671

Least Common Multiple (LCM) of 25231 and 25241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25231 and 25241. First we will calculate the prime factors of 25231 and 25241.

Prime Factorization of 25231

Prime factors of 25231 are 23, 1097. Prime factorization of 25231 in exponential form is:

25231 = 231 × 10971

Prime Factorization of 25241

Prime factors of 25241 are 43, 587. Prime factorization of 25241 in exponential form is:

25241 = 431 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 25231 and 25241.

LCM(25231,25241) = 231 × 10971 × 431 × 5871
LCM(25231,25241) = 636855671