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What is the Least Common Multiple of 8179 and 8193?

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 8179 and 8193 is 67010547.

LCM(8179,8193) = 67010547

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Least Common Multiple of 8179 and 8193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8179 and 8193, than apply into the LCM equation.

GCF(8179,8193) = 1
LCM(8179,8193) = ( 8179 × 8193) / 1
LCM(8179,8193) = 67010547 / 1
LCM(8179,8193) = 67010547

Least Common Multiple (LCM) of 8179 and 8193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8179 and 8193. First we will calculate the prime factors of 8179 and 8193.

Prime Factorization of 8179

Prime factors of 8179 are 8179. Prime factorization of 8179 in exponential form is:

8179 = 81791

Prime Factorization of 8193

Prime factors of 8193 are 3, 2731. Prime factorization of 8193 in exponential form is:

8193 = 31 × 27311

Now multiplying the highest exponent prime factors to calculate the LCM of 8179 and 8193.

LCM(8179,8193) = 81791 × 31 × 27311
LCM(8179,8193) = 67010547