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What is the Least Common Multiple of 25617 and 25631?

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 25617 and 25631 is 656589327.

LCM(25617,25631) = 656589327

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Least Common Multiple of 25617 and 25631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25617 and 25631, than apply into the LCM equation.

GCF(25617,25631) = 1
LCM(25617,25631) = ( 25617 × 25631) / 1
LCM(25617,25631) = 656589327 / 1
LCM(25617,25631) = 656589327

Least Common Multiple (LCM) of 25617 and 25631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25617 and 25631. First we will calculate the prime factors of 25617 and 25631.

Prime Factorization of 25617

Prime factors of 25617 are 3, 8539. Prime factorization of 25617 in exponential form is:

25617 = 31 × 85391

Prime Factorization of 25631

Prime factors of 25631 are 19, 71. Prime factorization of 25631 in exponential form is:

25631 = 192 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 25617 and 25631.

LCM(25617,25631) = 31 × 85391 × 192 × 711
LCM(25617,25631) = 656589327