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What is the Least Common Multiple of 25744 and 25754?

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 25754 is 331505488.

LCM(25744,25754) = 331505488

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Least Common Multiple of 25744 and 25754 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 25754, than apply into the LCM equation.

GCF(25744,25754) = 2
LCM(25744,25754) = ( 25744 × 25754) / 2
LCM(25744,25754) = 663010976 / 2
LCM(25744,25754) = 331505488

Least Common Multiple (LCM) of 25744 and 25754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25744 and 25754. First we will calculate the prime factors of 25744 and 25754.

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 25754

Prime factors of 25754 are 2, 79, 163. Prime factorization of 25754 in exponential form is:

25754 = 21 × 791 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 25744 and 25754.

LCM(25744,25754) = 24 × 16091 × 791 × 1631
LCM(25744,25754) = 331505488