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What is the Least Common Multiple of 8491 and 8501?

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 8491 and 8501 is 72181991.

LCM(8491,8501) = 72181991

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Least Common Multiple of 8491 and 8501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8491 and 8501, than apply into the LCM equation.

GCF(8491,8501) = 1
LCM(8491,8501) = ( 8491 × 8501) / 1
LCM(8491,8501) = 72181991 / 1
LCM(8491,8501) = 72181991

Least Common Multiple (LCM) of 8491 and 8501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8491 and 8501. First we will calculate the prime factors of 8491 and 8501.

Prime Factorization of 8491

Prime factors of 8491 are 7, 1213. Prime factorization of 8491 in exponential form is:

8491 = 71 × 12131

Prime Factorization of 8501

Prime factors of 8501 are 8501. Prime factorization of 8501 in exponential form is:

8501 = 85011

Now multiplying the highest exponent prime factors to calculate the LCM of 8491 and 8501.

LCM(8491,8501) = 71 × 12131 × 85011
LCM(8491,8501) = 72181991