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What is the Least Common Multiple of 25532 and 25542?

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 25532 and 25542 is 326069172.

LCM(25532,25542) = 326069172

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Least Common Multiple of 25532 and 25542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25532 and 25542, than apply into the LCM equation.

GCF(25532,25542) = 2
LCM(25532,25542) = ( 25532 × 25542) / 2
LCM(25532,25542) = 652138344 / 2
LCM(25532,25542) = 326069172

Least Common Multiple (LCM) of 25532 and 25542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25532 and 25542. First we will calculate the prime factors of 25532 and 25542.

Prime Factorization of 25532

Prime factors of 25532 are 2, 13, 491. Prime factorization of 25532 in exponential form is:

25532 = 22 × 131 × 4911

Prime Factorization of 25542

Prime factors of 25542 are 2, 3, 11, 43. Prime factorization of 25542 in exponential form is:

25542 = 21 × 33 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 25532 and 25542.

LCM(25532,25542) = 22 × 131 × 4911 × 33 × 111 × 431
LCM(25532,25542) = 326069172