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What is the Least Common Multiple of 25529 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 25529 and 25545 is 652138305.

LCM(25529,25545) = 652138305

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Least Common Multiple of 25529 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 25529 and 25545, than apply into the LCM equation.

GCF(25529,25545) = 1
LCM(25529,25545) = ( 25529 × 25545) / 1
LCM(25529,25545) = 652138305 / 1
LCM(25529,25545) = 652138305

Least Common Multiple (LCM) of 25529 and 25545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25529 and 25545. First we will calculate the prime factors of 25529 and 25545.

Prime Factorization of 25529

Prime factors of 25529 are 7, 521. Prime factorization of 25529 in exponential form is:

25529 = 72 × 5211

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 25529 and 25545.

LCM(25529,25545) = 72 × 5211 × 31 × 51 × 131 × 1311
LCM(25529,25545) = 652138305