What is the Least Common Multiple of 27006 and 27017?

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 27006 and 27017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27006 and 27017, than apply into the LCM equation.

GCF(27006,27017) = 1
LCM(27006,27017) = ( 27006 × 27017) / 1
LCM(27006,27017) = 729621102 / 1
LCM(27006,27017) = 729621102

Least Common Multiple (LCM) of 27006 and 27017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27006 and 27017. First we will calculate the prime factors of 27006 and 27017.

Prime Factorization of 27006

Prime Factorization of 27017

Now multiplying the highest exponent prime factors to calculate the LCM of 27006 and 27017.

LCM(27006,27017) = 2¹ × 3¹ × 7¹ × 643¹ × 27017¹
LCM(27006,27017) = 729621102