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What is the Least Common Multiple of 25338 and 25351?

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 25351 is 642343638.

LCM(25338,25351) = 642343638

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Least Common Multiple of 25338 and 25351 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 25351, than apply into the LCM equation.

GCF(25338,25351) = 1
LCM(25338,25351) = ( 25338 × 25351) / 1
LCM(25338,25351) = 642343638 / 1
LCM(25338,25351) = 642343638

Least Common Multiple (LCM) of 25338 and 25351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25338 and 25351. First we will calculate the prime factors of 25338 and 25351.

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 25351

Prime factors of 25351 are 101, 251. Prime factorization of 25351 in exponential form is:

25351 = 1011 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 25338 and 25351.

LCM(25338,25351) = 21 × 31 × 411 × 1031 × 1011 × 2511
LCM(25338,25351) = 642343638