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What is the Least Common Multiple of 25644 and 25653?

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 25644 and 25653 is 219281844.

LCM(25644,25653) = 219281844

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Least Common Multiple of 25644 and 25653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25644 and 25653, than apply into the LCM equation.

GCF(25644,25653) = 3
LCM(25644,25653) = ( 25644 × 25653) / 3
LCM(25644,25653) = 657845532 / 3
LCM(25644,25653) = 219281844

Least Common Multiple (LCM) of 25644 and 25653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25644 and 25653. First we will calculate the prime factors of 25644 and 25653.

Prime Factorization of 25644

Prime factors of 25644 are 2, 3, 2137. Prime factorization of 25644 in exponential form is:

25644 = 22 × 31 × 21371

Prime Factorization of 25653

Prime factors of 25653 are 3, 17, 503. Prime factorization of 25653 in exponential form is:

25653 = 31 × 171 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 25644 and 25653.

LCM(25644,25653) = 22 × 31 × 21371 × 171 × 5031
LCM(25644,25653) = 219281844