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What is the Least Common Multiple of 25234 and 25248?

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 25234 and 25248 is 318554016.

LCM(25234,25248) = 318554016

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Least Common Multiple of 25234 and 25248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25234 and 25248, than apply into the LCM equation.

GCF(25234,25248) = 2
LCM(25234,25248) = ( 25234 × 25248) / 2
LCM(25234,25248) = 637108032 / 2
LCM(25234,25248) = 318554016

Least Common Multiple (LCM) of 25234 and 25248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25234 and 25248. First we will calculate the prime factors of 25234 and 25248.

Prime Factorization of 25234

Prime factors of 25234 are 2, 11, 31, 37. Prime factorization of 25234 in exponential form is:

25234 = 21 × 111 × 311 × 371

Prime Factorization of 25248

Prime factors of 25248 are 2, 3, 263. Prime factorization of 25248 in exponential form is:

25248 = 25 × 31 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 25234 and 25248.

LCM(25234,25248) = 25 × 111 × 311 × 371 × 31 × 2631
LCM(25234,25248) = 318554016