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What is the Least Common Multiple of 25211 and 25231?

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 25211 and 25231 is 636098741.

LCM(25211,25231) = 636098741

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Least Common Multiple of 25211 and 25231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25211 and 25231, than apply into the LCM equation.

GCF(25211,25231) = 1
LCM(25211,25231) = ( 25211 × 25231) / 1
LCM(25211,25231) = 636098741 / 1
LCM(25211,25231) = 636098741

Least Common Multiple (LCM) of 25211 and 25231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25211 and 25231. First we will calculate the prime factors of 25211 and 25231.

Prime Factorization of 25211

Prime factors of 25211 are 17, 1483. Prime factorization of 25211 in exponential form is:

25211 = 171 × 14831

Prime Factorization of 25231

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

25231 = 231 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 25211 and 25231.

LCM(25211,25231) = 171 × 14831 × 231 × 10971
LCM(25211,25231) = 636098741