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What is the Least Common Multiple of 25528 and 25545?

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 25528 and 25545 is 652112760.

LCM(25528,25545) = 652112760

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Least Common Multiple of 25528 and 25545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25528 and 25545, than apply into the LCM equation.

GCF(25528,25545) = 1
LCM(25528,25545) = ( 25528 × 25545) / 1
LCM(25528,25545) = 652112760 / 1
LCM(25528,25545) = 652112760

Least Common Multiple (LCM) of 25528 and 25545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25528 and 25545. First we will calculate the prime factors of 25528 and 25545.

Prime Factorization of 25528

Prime factors of 25528 are 2, 3191. Prime factorization of 25528 in exponential form is:

25528 = 23 × 31911

Prime Factorization of 25545

Prime factors of 25545 are 3, 5, 13, 131. Prime factorization of 25545 in exponential form is:

25545 = 31 × 51 × 131 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 25528 and 25545.

LCM(25528,25545) = 23 × 31911 × 31 × 51 × 131 × 1311
LCM(25528,25545) = 652112760