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What is the Least Common Multiple of 25533 and 25543?

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 25533 and 25543 is 652189419.

LCM(25533,25543) = 652189419

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Least Common Multiple of 25533 and 25543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25533 and 25543, than apply into the LCM equation.

GCF(25533,25543) = 1
LCM(25533,25543) = ( 25533 × 25543) / 1
LCM(25533,25543) = 652189419 / 1
LCM(25533,25543) = 652189419

Least Common Multiple (LCM) of 25533 and 25543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25533 and 25543. First we will calculate the prime factors of 25533 and 25543.

Prime Factorization of 25533

Prime factors of 25533 are 3, 2837. Prime factorization of 25533 in exponential form is:

25533 = 32 × 28371

Prime Factorization of 25543

Prime factors of 25543 are 7, 41, 89. Prime factorization of 25543 in exponential form is:

25543 = 71 × 411 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 25533 and 25543.

LCM(25533,25543) = 32 × 28371 × 71 × 411 × 891
LCM(25533,25543) = 652189419