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What is the Least Common Multiple of 25744 and 25761?

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 25744 and 25761 is 663191184.

LCM(25744,25761) = 663191184

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Least Common Multiple of 25744 and 25761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25744 and 25761, than apply into the LCM equation.

GCF(25744,25761) = 1
LCM(25744,25761) = ( 25744 × 25761) / 1
LCM(25744,25761) = 663191184 / 1
LCM(25744,25761) = 663191184

Least Common Multiple (LCM) of 25744 and 25761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25744 and 25761. First we will calculate the prime factors of 25744 and 25761.

Prime Factorization of 25744

Prime factors of 25744 are 2, 1609. Prime factorization of 25744 in exponential form is:

25744 = 24 × 16091

Prime Factorization of 25761

Prime factors of 25761 are 3, 31, 277. Prime factorization of 25761 in exponential form is:

25761 = 31 × 311 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 25744 and 25761.

LCM(25744,25761) = 24 × 16091 × 31 × 311 × 2771
LCM(25744,25761) = 663191184