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What is the Least Common Multiple of 25777 and 25784?

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 25777 and 25784 is 664634168.

LCM(25777,25784) = 664634168

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Least Common Multiple of 25777 and 25784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25777 and 25784, than apply into the LCM equation.

GCF(25777,25784) = 1
LCM(25777,25784) = ( 25777 × 25784) / 1
LCM(25777,25784) = 664634168 / 1
LCM(25777,25784) = 664634168

Least Common Multiple (LCM) of 25777 and 25784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25777 and 25784. First we will calculate the prime factors of 25777 and 25784.

Prime Factorization of 25777

Prime factors of 25777 are 149, 173. Prime factorization of 25777 in exponential form is:

25777 = 1491 × 1731

Prime Factorization of 25784

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

25784 = 23 × 111 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 25777 and 25784.

LCM(25777,25784) = 1491 × 1731 × 23 × 111 × 2931
LCM(25777,25784) = 664634168