What is the Least Common Multiple of 8550 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 of 8550 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 8550 and 8569, than apply into the LCM equation.

GCF(8550,8569) = 19
LCM(8550,8569) = ( 8550 × 8569) / 19
LCM(8550,8569) = 73264950 / 19
LCM(8550,8569) = 3856050

Least Common Multiple (LCM) of 8550 and 8569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8550 and 8569. First we will calculate the prime factors of 8550 and 8569.

Prime Factorization of 8550

Prime Factorization of 8569

Now multiplying the highest exponent prime factors to calculate the LCM of 8550 and 8569.

LCM(8550,8569) = 2¹ × 3² × 5² × 19¹ × 11¹ × 41¹
LCM(8550,8569) = 3856050