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What is the Least Common Multiple of 25272 and 25285?

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 25272 and 25285 is 49154040.

LCM(25272,25285) = 49154040

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Least Common Multiple of 25272 and 25285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25272 and 25285, than apply into the LCM equation.

GCF(25272,25285) = 13
LCM(25272,25285) = ( 25272 × 25285) / 13
LCM(25272,25285) = 639002520 / 13
LCM(25272,25285) = 49154040

Least Common Multiple (LCM) of 25272 and 25285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25272 and 25285. First we will calculate the prime factors of 25272 and 25285.

Prime Factorization of 25272

Prime factors of 25272 are 2, 3, 13. Prime factorization of 25272 in exponential form is:

25272 = 23 × 35 × 131

Prime Factorization of 25285

Prime factors of 25285 are 5, 13, 389. Prime factorization of 25285 in exponential form is:

25285 = 51 × 131 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 25272 and 25285.

LCM(25272,25285) = 23 × 35 × 131 × 51 × 3891
LCM(25272,25285) = 49154040