What is the Least Common Multiple of 27002 and 27007?

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 27002 and 27007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27002 and 27007, than apply into the LCM equation.

GCF(27002,27007) = 1
LCM(27002,27007) = ( 27002 × 27007) / 1
LCM(27002,27007) = 729243014 / 1
LCM(27002,27007) = 729243014

Least Common Multiple (LCM) of 27002 and 27007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27002 and 27007. First we will calculate the prime factors of 27002 and 27007.

Prime Factorization of 27002

Prime Factorization of 27007

Now multiplying the highest exponent prime factors to calculate the LCM of 27002 and 27007.

LCM(27002,27007) = 2¹ × 23¹ × 587¹ × 113¹ × 239¹
LCM(27002,27007) = 729243014