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What is the Least Common Multiple of 25239 and 25245?

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 25239 and 25245 is 212386185.

LCM(25239,25245) = 212386185

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Least Common Multiple of 25239 and 25245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25239 and 25245, than apply into the LCM equation.

GCF(25239,25245) = 3
LCM(25239,25245) = ( 25239 × 25245) / 3
LCM(25239,25245) = 637158555 / 3
LCM(25239,25245) = 212386185

Least Common Multiple (LCM) of 25239 and 25245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25239 and 25245. First we will calculate the prime factors of 25239 and 25245.

Prime Factorization of 25239

Prime factors of 25239 are 3, 47, 179. Prime factorization of 25239 in exponential form is:

25239 = 31 × 471 × 1791

Prime Factorization of 25245

Prime factors of 25245 are 3, 5, 11, 17. Prime factorization of 25245 in exponential form is:

25245 = 33 × 51 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 25239 and 25245.

LCM(25239,25245) = 33 × 471 × 1791 × 51 × 111 × 171
LCM(25239,25245) = 212386185