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What is the Least Common Multiple of 8524 and 8543?

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 8524 and 8543 is 72820532.

LCM(8524,8543) = 72820532

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Least Common Multiple of 8524 and 8543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8524 and 8543, than apply into the LCM equation.

GCF(8524,8543) = 1
LCM(8524,8543) = ( 8524 × 8543) / 1
LCM(8524,8543) = 72820532 / 1
LCM(8524,8543) = 72820532

Least Common Multiple (LCM) of 8524 and 8543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8524 and 8543. First we will calculate the prime factors of 8524 and 8543.

Prime Factorization of 8524

Prime factors of 8524 are 2, 2131. Prime factorization of 8524 in exponential form is:

8524 = 22 × 21311

Prime Factorization of 8543

Prime factors of 8543 are 8543. Prime factorization of 8543 in exponential form is:

8543 = 85431

Now multiplying the highest exponent prime factors to calculate the LCM of 8524 and 8543.

LCM(8524,8543) = 22 × 21311 × 85431
LCM(8524,8543) = 72820532