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What is the Least Common Multiple of 25741 and 25760?

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 25741 and 25760 is 663088160.

LCM(25741,25760) = 663088160

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Least Common Multiple of 25741 and 25760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25741 and 25760, than apply into the LCM equation.

GCF(25741,25760) = 1
LCM(25741,25760) = ( 25741 × 25760) / 1
LCM(25741,25760) = 663088160 / 1
LCM(25741,25760) = 663088160

Least Common Multiple (LCM) of 25741 and 25760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25741 and 25760. First we will calculate the prime factors of 25741 and 25760.

Prime Factorization of 25741

Prime factors of 25741 are 25741. Prime factorization of 25741 in exponential form is:

25741 = 257411

Prime Factorization of 25760

Prime factors of 25760 are 2, 5, 7, 23. Prime factorization of 25760 in exponential form is:

25760 = 25 × 51 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 25741 and 25760.

LCM(25741,25760) = 257411 × 25 × 51 × 71 × 231
LCM(25741,25760) = 663088160