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What is the Least Common Multiple of 25542 and 25555?

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 25555 is 652725810.

LCM(25542,25555) = 652725810

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Least Common Multiple of 25542 and 25555 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 25555, than apply into the LCM equation.

GCF(25542,25555) = 1
LCM(25542,25555) = ( 25542 × 25555) / 1
LCM(25542,25555) = 652725810 / 1
LCM(25542,25555) = 652725810

Least Common Multiple (LCM) of 25542 and 25555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25542 and 25555. First we will calculate the prime factors of 25542 and 25555.

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 25555

Prime factors of 25555 are 5, 19, 269. Prime factorization of 25555 in exponential form is:

25555 = 51 × 191 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 25542 and 25555.

LCM(25542,25555) = 21 × 33 × 111 × 431 × 51 × 191 × 2691
LCM(25542,25555) = 652725810