What is the Least Common Multiple of 8550 and 8563?

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 8563 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 8563, than apply into the LCM equation.

GCF(8550,8563) = 1
LCM(8550,8563) = ( 8550 × 8563) / 1
LCM(8550,8563) = 73213650 / 1
LCM(8550,8563) = 73213650

Least Common Multiple (LCM) of 8550 and 8563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8550 and 8563. First we will calculate the prime factors of 8550 and 8563.

Prime Factorization of 8550

Prime Factorization of 8563

Now multiplying the highest exponent prime factors to calculate the LCM of 8550 and 8563.

LCM(8550,8563) = 2¹ × 3² × 5² × 19¹ × 8563¹
LCM(8550,8563) = 73213650