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What is the Least Common Multiple of 8530 and 8540?

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 8530 and 8540 is 7284620.

LCM(8530,8540) = 7284620

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Least Common Multiple of 8530 and 8540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8530 and 8540, than apply into the LCM equation.

GCF(8530,8540) = 10
LCM(8530,8540) = ( 8530 × 8540) / 10
LCM(8530,8540) = 72846200 / 10
LCM(8530,8540) = 7284620

Least Common Multiple (LCM) of 8530 and 8540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8530 and 8540. First we will calculate the prime factors of 8530 and 8540.

Prime Factorization of 8530

Prime factors of 8530 are 2, 5, 853. Prime factorization of 8530 in exponential form is:

8530 = 21 × 51 × 8531

Prime Factorization of 8540

Prime factors of 8540 are 2, 5, 7, 61. Prime factorization of 8540 in exponential form is:

8540 = 22 × 51 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 8530 and 8540.

LCM(8530,8540) = 22 × 51 × 8531 × 71 × 611
LCM(8530,8540) = 7284620