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What is the Least Common Multiple of 25738 and 25747?

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 25738 and 25747 is 662676286.

LCM(25738,25747) = 662676286

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Least Common Multiple of 25738 and 25747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25738 and 25747, than apply into the LCM equation.

GCF(25738,25747) = 1
LCM(25738,25747) = ( 25738 × 25747) / 1
LCM(25738,25747) = 662676286 / 1
LCM(25738,25747) = 662676286

Least Common Multiple (LCM) of 25738 and 25747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25738 and 25747. First we will calculate the prime factors of 25738 and 25747.

Prime Factorization of 25738

Prime factors of 25738 are 2, 17, 757. Prime factorization of 25738 in exponential form is:

25738 = 21 × 171 × 7571

Prime Factorization of 25747

Prime factors of 25747 are 25747. Prime factorization of 25747 in exponential form is:

25747 = 257471

Now multiplying the highest exponent prime factors to calculate the LCM of 25738 and 25747.

LCM(25738,25747) = 21 × 171 × 7571 × 257471
LCM(25738,25747) = 662676286