What is the Least Common Multiple of 8550 and 8565?

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 8565 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 8565, than apply into the LCM equation.

GCF(8550,8565) = 15
LCM(8550,8565) = ( 8550 × 8565) / 15
LCM(8550,8565) = 73230750 / 15
LCM(8550,8565) = 4882050

Least Common Multiple (LCM) of 8550 and 8565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8550 and 8565. First we will calculate the prime factors of 8550 and 8565.

Prime Factorization of 8550

Prime Factorization of 8565

Now multiplying the highest exponent prime factors to calculate the LCM of 8550 and 8565.

LCM(8550,8565) = 2¹ × 3² × 5² × 19¹ × 571¹
LCM(8550,8565) = 4882050