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What is the Least Common Multiple of 25542 and 25554?

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 25542 and 25554 is 108783378.

LCM(25542,25554) = 108783378

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Least Common Multiple of 25542 and 25554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25542 and 25554, than apply into the LCM equation.

GCF(25542,25554) = 6
LCM(25542,25554) = ( 25542 × 25554) / 6
LCM(25542,25554) = 652700268 / 6
LCM(25542,25554) = 108783378

Least Common Multiple (LCM) of 25542 and 25554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25542 and 25554. First we will calculate the prime factors of 25542 and 25554.

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

Prime Factorization of 25554

Prime factors of 25554 are 2, 3, 4259. Prime factorization of 25554 in exponential form is:

25554 = 21 × 31 × 42591

Now multiplying the highest exponent prime factors to calculate the LCM of 25542 and 25554.

LCM(25542,25554) = 21 × 33 × 111 × 431 × 42591
LCM(25542,25554) = 108783378