What is the Least Common Multiple of 27006 and 27021?

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 27021 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 27021, than apply into the LCM equation.

GCF(27006,27021) = 3
LCM(27006,27021) = ( 27006 × 27021) / 3
LCM(27006,27021) = 729729126 / 3
LCM(27006,27021) = 243243042

Least Common Multiple (LCM) of 27006 and 27021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27006 and 27021. First we will calculate the prime factors of 27006 and 27021.

Prime Factorization of 27006

Prime Factorization of 27021

Now multiplying the highest exponent prime factors to calculate the LCM of 27006 and 27021.

LCM(27006,27021) = 2¹ × 3¹ × 7¹ × 643¹ × 9007¹
LCM(27006,27021) = 243243042