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What is the Least Common Multiple of 25693 and 25706?

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 25693 and 25706 is 660464258.

LCM(25693,25706) = 660464258

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Least Common Multiple of 25693 and 25706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25693 and 25706, than apply into the LCM equation.

GCF(25693,25706) = 1
LCM(25693,25706) = ( 25693 × 25706) / 1
LCM(25693,25706) = 660464258 / 1
LCM(25693,25706) = 660464258

Least Common Multiple (LCM) of 25693 and 25706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25693 and 25706. First we will calculate the prime factors of 25693 and 25706.

Prime Factorization of 25693

Prime factors of 25693 are 25693. Prime factorization of 25693 in exponential form is:

25693 = 256931

Prime Factorization of 25706

Prime factors of 25706 are 2, 12853. Prime factorization of 25706 in exponential form is:

25706 = 21 × 128531

Now multiplying the highest exponent prime factors to calculate the LCM of 25693 and 25706.

LCM(25693,25706) = 256931 × 21 × 128531
LCM(25693,25706) = 660464258