What is the Least Common Multiple of 27170 and 27189?

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 27170 and 27189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27170 and 27189, than apply into the LCM equation.

GCF(27170,27189) = 19
LCM(27170,27189) = ( 27170 × 27189) / 19
LCM(27170,27189) = 738725130 / 19
LCM(27170,27189) = 38880270

Least Common Multiple (LCM) of 27170 and 27189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27170 and 27189. First we will calculate the prime factors of 27170 and 27189.

Prime Factorization of 27170

Prime Factorization of 27189

Now multiplying the highest exponent prime factors to calculate the LCM of 27170 and 27189.

LCM(27170,27189) = 2¹ × 5¹ × 11¹ × 13¹ × 19¹ × 3³ × 53¹
LCM(27170,27189) = 38880270