What is the Least Common Multiple of 88089 and 88095?

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 88089 and 88095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88089 and 88095, than apply into the LCM equation.

GCF(88089,88095) = 3
LCM(88089,88095) = ( 88089 × 88095) / 3
LCM(88089,88095) = 7760200455 / 3
LCM(88089,88095) = 2586733485

Least Common Multiple (LCM) of 88089 and 88095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88089 and 88095. First we will calculate the prime factors of 88089 and 88095.

Prime Factorization of 88089

Prime Factorization of 88095

Now multiplying the highest exponent prime factors to calculate the LCM of 88089 and 88095.

LCM(88089,88095) = 3¹ × 29363¹ × 5¹ × 7¹ × 839¹
LCM(88089,88095) = 2586733485