What is the Least Common Multiple of 27009 and 27015?

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 27009 and 27015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27009 and 27015, than apply into the LCM equation.

GCF(27009,27015) = 3
LCM(27009,27015) = ( 27009 × 27015) / 3
LCM(27009,27015) = 729648135 / 3
LCM(27009,27015) = 243216045

Least Common Multiple (LCM) of 27009 and 27015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27009 and 27015. First we will calculate the prime factors of 27009 and 27015.

Prime Factorization of 27009

Prime Factorization of 27015

Now multiplying the highest exponent prime factors to calculate the LCM of 27009 and 27015.

LCM(27009,27015) = 3² × 3001¹ × 5¹ × 1801¹
LCM(27009,27015) = 243216045