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What is the Least Common Multiple of 8522 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 8522 and 8538 is 36380418.

LCM(8522,8538) = 36380418

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Least Common Multiple of 8522 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 8522 and 8538, than apply into the LCM equation.

GCF(8522,8538) = 2
LCM(8522,8538) = ( 8522 × 8538) / 2
LCM(8522,8538) = 72760836 / 2
LCM(8522,8538) = 36380418

Least Common Multiple (LCM) of 8522 and 8538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8522 and 8538. First we will calculate the prime factors of 8522 and 8538.

Prime Factorization of 8522

Prime factors of 8522 are 2, 4261. Prime factorization of 8522 in exponential form is:

8522 = 21 × 42611

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 8522 and 8538.

LCM(8522,8538) = 21 × 42611 × 31 × 14231
LCM(8522,8538) = 36380418