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What is the Least Common Multiple of 25549 and 25564?

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 25549 and 25564 is 653134636.

LCM(25549,25564) = 653134636

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Least Common Multiple of 25549 and 25564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25549 and 25564, than apply into the LCM equation.

GCF(25549,25564) = 1
LCM(25549,25564) = ( 25549 × 25564) / 1
LCM(25549,25564) = 653134636 / 1
LCM(25549,25564) = 653134636

Least Common Multiple (LCM) of 25549 and 25564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25549 and 25564. First we will calculate the prime factors of 25549 and 25564.

Prime Factorization of 25549

Prime factors of 25549 are 29, 881. Prime factorization of 25549 in exponential form is:

25549 = 291 × 8811

Prime Factorization of 25564

Prime factors of 25564 are 2, 7, 11, 83. Prime factorization of 25564 in exponential form is:

25564 = 22 × 71 × 111 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 25549 and 25564.

LCM(25549,25564) = 291 × 8811 × 22 × 71 × 111 × 831
LCM(25549,25564) = 653134636