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What is the Least Common Multiple of 25564 and 25568?

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 25564 and 25568 is 163405088.

LCM(25564,25568) = 163405088

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Least Common Multiple of 25564 and 25568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25564 and 25568, than apply into the LCM equation.

GCF(25564,25568) = 4
LCM(25564,25568) = ( 25564 × 25568) / 4
LCM(25564,25568) = 653620352 / 4
LCM(25564,25568) = 163405088

Least Common Multiple (LCM) of 25564 and 25568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25564 and 25568. First we will calculate the prime factors of 25564 and 25568.

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

Prime Factorization of 25568

Prime factors of 25568 are 2, 17, 47. Prime factorization of 25568 in exponential form is:

25568 = 25 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 25564 and 25568.

LCM(25564,25568) = 25 × 71 × 111 × 831 × 171 × 471
LCM(25564,25568) = 163405088