What is the Least Common Multiple of 8565 and 8575?

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 8565 and 8575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8565 and 8575, than apply into the LCM equation.

GCF(8565,8575) = 5
LCM(8565,8575) = ( 8565 × 8575) / 5
LCM(8565,8575) = 73444875 / 5
LCM(8565,8575) = 14688975

Least Common Multiple (LCM) of 8565 and 8575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8565 and 8575. First we will calculate the prime factors of 8565 and 8575.

Prime Factorization of 8565

Prime Factorization of 8575

Now multiplying the highest exponent prime factors to calculate the LCM of 8565 and 8575.

LCM(8565,8575) = 3¹ × 5² × 571¹ × 7³
LCM(8565,8575) = 14688975