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What is the Least Common Multiple of 25564 and 25575?

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 25575 is 59436300.

LCM(25564,25575) = 59436300

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Least Common Multiple of 25564 and 25575 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 25575, than apply into the LCM equation.

GCF(25564,25575) = 11
LCM(25564,25575) = ( 25564 × 25575) / 11
LCM(25564,25575) = 653799300 / 11
LCM(25564,25575) = 59436300

Least Common Multiple (LCM) of 25564 and 25575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25564 and 25575. First we will calculate the prime factors of 25564 and 25575.

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 25575

Prime factors of 25575 are 3, 5, 11, 31. Prime factorization of 25575 in exponential form is:

25575 = 31 × 52 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 25564 and 25575.

LCM(25564,25575) = 22 × 71 × 111 × 831 × 31 × 52 × 311
LCM(25564,25575) = 59436300