What is the Least Common Multiple of 8550 and 8564?

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 8564 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 8564, than apply into the LCM equation.

GCF(8550,8564) = 2
LCM(8550,8564) = ( 8550 × 8564) / 2
LCM(8550,8564) = 73222200 / 2
LCM(8550,8564) = 36611100

Least Common Multiple (LCM) of 8550 and 8564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8550 and 8564. First we will calculate the prime factors of 8550 and 8564.

Prime Factorization of 8550

Prime Factorization of 8564

Now multiplying the highest exponent prime factors to calculate the LCM of 8550 and 8564.

LCM(8550,8564) = 2² × 3² × 5² × 19¹ × 2141¹
LCM(8550,8564) = 36611100