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What is the Least Common Multiple of 25322 and 25334?

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 25322 and 25334 is 320753774.

LCM(25322,25334) = 320753774

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Least Common Multiple of 25322 and 25334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25322 and 25334, than apply into the LCM equation.

GCF(25322,25334) = 2
LCM(25322,25334) = ( 25322 × 25334) / 2
LCM(25322,25334) = 641507548 / 2
LCM(25322,25334) = 320753774

Least Common Multiple (LCM) of 25322 and 25334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25322 and 25334. First we will calculate the prime factors of 25322 and 25334.

Prime Factorization of 25322

Prime factors of 25322 are 2, 11, 1151. Prime factorization of 25322 in exponential form is:

25322 = 21 × 111 × 11511

Prime Factorization of 25334

Prime factors of 25334 are 2, 53, 239. Prime factorization of 25334 in exponential form is:

25334 = 21 × 531 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 25322 and 25334.

LCM(25322,25334) = 21 × 111 × 11511 × 531 × 2391
LCM(25322,25334) = 320753774