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What is the Least Common Multiple of 8171 and 8184?

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 8171 and 8184 is 66871464.

LCM(8171,8184) = 66871464

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Least Common Multiple of 8171 and 8184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8171 and 8184, than apply into the LCM equation.

GCF(8171,8184) = 1
LCM(8171,8184) = ( 8171 × 8184) / 1
LCM(8171,8184) = 66871464 / 1
LCM(8171,8184) = 66871464

Least Common Multiple (LCM) of 8171 and 8184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8171 and 8184. First we will calculate the prime factors of 8171 and 8184.

Prime Factorization of 8171

Prime factors of 8171 are 8171. Prime factorization of 8171 in exponential form is:

8171 = 81711

Prime Factorization of 8184

Prime factors of 8184 are 2, 3, 11, 31. Prime factorization of 8184 in exponential form is:

8184 = 23 × 31 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 8171 and 8184.

LCM(8171,8184) = 81711 × 23 × 31 × 111 × 311
LCM(8171,8184) = 66871464