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What is the Least Common Multiple of 25338 and 25346?

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 25338 and 25346 is 321108474.

LCM(25338,25346) = 321108474

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Least Common Multiple of 25338 and 25346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25338 and 25346, than apply into the LCM equation.

GCF(25338,25346) = 2
LCM(25338,25346) = ( 25338 × 25346) / 2
LCM(25338,25346) = 642216948 / 2
LCM(25338,25346) = 321108474

Least Common Multiple (LCM) of 25338 and 25346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25338 and 25346. First we will calculate the prime factors of 25338 and 25346.

Prime Factorization of 25338

Prime factors of 25338 are 2, 3, 41, 103. Prime factorization of 25338 in exponential form is:

25338 = 21 × 31 × 411 × 1031

Prime Factorization of 25346

Prime factors of 25346 are 2, 19, 23, 29. Prime factorization of 25346 in exponential form is:

25346 = 21 × 191 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 25338 and 25346.

LCM(25338,25346) = 21 × 31 × 411 × 1031 × 191 × 231 × 291
LCM(25338,25346) = 321108474