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What is the Least Common Multiple of 25784 and 25791?

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 25784 and 25791 is 664995144.

LCM(25784,25791) = 664995144

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Least Common Multiple of 25784 and 25791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25784 and 25791, than apply into the LCM equation.

GCF(25784,25791) = 1
LCM(25784,25791) = ( 25784 × 25791) / 1
LCM(25784,25791) = 664995144 / 1
LCM(25784,25791) = 664995144

Least Common Multiple (LCM) of 25784 and 25791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25784 and 25791. First we will calculate the prime factors of 25784 and 25791.

Prime Factorization of 25784

Prime factors of 25784 are 2, 11, 293. Prime factorization of 25784 in exponential form is:

25784 = 23 × 111 × 2931

Prime Factorization of 25791

Prime factors of 25791 are 3, 8597. Prime factorization of 25791 in exponential form is:

25791 = 31 × 85971

Now multiplying the highest exponent prime factors to calculate the LCM of 25784 and 25791.

LCM(25784,25791) = 23 × 111 × 2931 × 31 × 85971
LCM(25784,25791) = 664995144