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What is the Least Common Multiple of 25747 and 25764?

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 25747 and 25764 is 663345708.

LCM(25747,25764) = 663345708

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Least Common Multiple of 25747 and 25764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25747 and 25764, than apply into the LCM equation.

GCF(25747,25764) = 1
LCM(25747,25764) = ( 25747 × 25764) / 1
LCM(25747,25764) = 663345708 / 1
LCM(25747,25764) = 663345708

Least Common Multiple (LCM) of 25747 and 25764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25747 and 25764. First we will calculate the prime factors of 25747 and 25764.

Prime Factorization of 25747

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

25747 = 257471

Prime Factorization of 25764

Prime factors of 25764 are 2, 3, 19, 113. Prime factorization of 25764 in exponential form is:

25764 = 22 × 31 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 25747 and 25764.

LCM(25747,25764) = 257471 × 22 × 31 × 191 × 1131
LCM(25747,25764) = 663345708