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What is the Least Common Multiple of 8511 and 8521?

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 8511 and 8521 is 72522231.

LCM(8511,8521) = 72522231

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Least Common Multiple of 8511 and 8521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8511 and 8521, than apply into the LCM equation.

GCF(8511,8521) = 1
LCM(8511,8521) = ( 8511 × 8521) / 1
LCM(8511,8521) = 72522231 / 1
LCM(8511,8521) = 72522231

Least Common Multiple (LCM) of 8511 and 8521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8511 and 8521. First we will calculate the prime factors of 8511 and 8521.

Prime Factorization of 8511

Prime factors of 8511 are 3, 2837. Prime factorization of 8511 in exponential form is:

8511 = 31 × 28371

Prime Factorization of 8521

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

8521 = 85211

Now multiplying the highest exponent prime factors to calculate the LCM of 8511 and 8521.

LCM(8511,8521) = 31 × 28371 × 85211
LCM(8511,8521) = 72522231