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What is the Least Common Multiple of 8155 and 8172?

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 8155 and 8172 is 66642660.

LCM(8155,8172) = 66642660

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Least Common Multiple of 8155 and 8172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8155 and 8172, than apply into the LCM equation.

GCF(8155,8172) = 1
LCM(8155,8172) = ( 8155 × 8172) / 1
LCM(8155,8172) = 66642660 / 1
LCM(8155,8172) = 66642660

Least Common Multiple (LCM) of 8155 and 8172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8155 and 8172. First we will calculate the prime factors of 8155 and 8172.

Prime Factorization of 8155

Prime factors of 8155 are 5, 7, 233. Prime factorization of 8155 in exponential form is:

8155 = 51 × 71 × 2331

Prime Factorization of 8172

Prime factors of 8172 are 2, 3, 227. Prime factorization of 8172 in exponential form is:

8172 = 22 × 32 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 8155 and 8172.

LCM(8155,8172) = 51 × 71 × 2331 × 22 × 32 × 2271
LCM(8155,8172) = 66642660