GCF and LCM Calculator Logo

What is the Least Common Multiple of 8555 and 8569?

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 8555 and 8569 is 73307795.

LCM(8555,8569) = 73307795

LCM Calculator and
and

Least Common Multiple of 8555 and 8569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8555 and 8569, than apply into the LCM equation.

GCF(8555,8569) = 1
LCM(8555,8569) = ( 8555 × 8569) / 1
LCM(8555,8569) = 73307795 / 1
LCM(8555,8569) = 73307795

Least Common Multiple (LCM) of 8555 and 8569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8555 and 8569. First we will calculate the prime factors of 8555 and 8569.

Prime Factorization of 8555

Prime factors of 8555 are 5, 29, 59. Prime factorization of 8555 in exponential form is:

8555 = 51 × 291 × 591

Prime Factorization of 8569

Prime factors of 8569 are 11, 19, 41. Prime factorization of 8569 in exponential form is:

8569 = 111 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8555 and 8569.

LCM(8555,8569) = 51 × 291 × 591 × 111 × 191 × 411
LCM(8555,8569) = 73307795