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What is the Least Common Multiple of 8521 and 8538?

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 8521 and 8538 is 72752298.

LCM(8521,8538) = 72752298

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Least Common Multiple of 8521 and 8538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8521 and 8538, than apply into the LCM equation.

GCF(8521,8538) = 1
LCM(8521,8538) = ( 8521 × 8538) / 1
LCM(8521,8538) = 72752298 / 1
LCM(8521,8538) = 72752298

Least Common Multiple (LCM) of 8521 and 8538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8521 and 8538. First we will calculate the prime factors of 8521 and 8538.

Prime Factorization of 8521

Prime factors of 8521 are 8521. Prime factorization of 8521 in exponential form is:

8521 = 85211

Prime Factorization of 8538

Prime factors of 8538 are 2, 3, 1423. Prime factorization of 8538 in exponential form is:

8538 = 21 × 31 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 8521 and 8538.

LCM(8521,8538) = 85211 × 21 × 31 × 14231
LCM(8521,8538) = 72752298