What is the Least Common Multiple of 8559 and 8568?

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 8559 and 8568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8559 and 8568, than apply into the LCM equation.

GCF(8559,8568) = 9
LCM(8559,8568) = ( 8559 × 8568) / 9
LCM(8559,8568) = 73333512 / 9
LCM(8559,8568) = 8148168

Least Common Multiple (LCM) of 8559 and 8568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8559 and 8568. First we will calculate the prime factors of 8559 and 8568.

Prime Factorization of 8559

Prime Factorization of 8568

Now multiplying the highest exponent prime factors to calculate the LCM of 8559 and 8568.

LCM(8559,8568) = 3³ × 317¹ × 2³ × 7¹ × 17¹
LCM(8559,8568) = 8148168