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What is the Least Common Multiple of 12541 and 12552?

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 12541 and 12552 is 157414632.

LCM(12541,12552) = 157414632

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Least Common Multiple of 12541 and 12552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12541 and 12552, than apply into the LCM equation.

GCF(12541,12552) = 1
LCM(12541,12552) = ( 12541 × 12552) / 1
LCM(12541,12552) = 157414632 / 1
LCM(12541,12552) = 157414632

Least Common Multiple (LCM) of 12541 and 12552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12541 and 12552. First we will calculate the prime factors of 12541 and 12552.

Prime Factorization of 12541

Prime factors of 12541 are 12541. Prime factorization of 12541 in exponential form is:

12541 = 125411

Prime Factorization of 12552

Prime factors of 12552 are 2, 3, 523. Prime factorization of 12552 in exponential form is:

12552 = 23 × 31 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 12541 and 12552.

LCM(12541,12552) = 125411 × 23 × 31 × 5231
LCM(12541,12552) = 157414632