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What is the Least Common Multiple of 6524 and 6538?

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 6524 and 6538 is 3046708.

LCM(6524,6538) = 3046708

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Least Common Multiple of 6524 and 6538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6524 and 6538, than apply into the LCM equation.

GCF(6524,6538) = 14
LCM(6524,6538) = ( 6524 × 6538) / 14
LCM(6524,6538) = 42653912 / 14
LCM(6524,6538) = 3046708

Least Common Multiple (LCM) of 6524 and 6538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6524 and 6538. First we will calculate the prime factors of 6524 and 6538.

Prime Factorization of 6524

Prime factors of 6524 are 2, 7, 233. Prime factorization of 6524 in exponential form is:

6524 = 22 × 71 × 2331

Prime Factorization of 6538

Prime factors of 6538 are 2, 7, 467. Prime factorization of 6538 in exponential form is:

6538 = 21 × 71 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 6524 and 6538.

LCM(6524,6538) = 22 × 71 × 2331 × 4671
LCM(6524,6538) = 3046708