What is the Least Common Multiple of 27189 and 27208?

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 27189 and 27208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27189 and 27208, than apply into the LCM equation.

GCF(27189,27208) = 19
LCM(27189,27208) = ( 27189 × 27208) / 19
LCM(27189,27208) = 739758312 / 19
LCM(27189,27208) = 38934648

Least Common Multiple (LCM) of 27189 and 27208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27189 and 27208. First we will calculate the prime factors of 27189 and 27208.

Prime Factorization of 27189

Prime Factorization of 27208

Now multiplying the highest exponent prime factors to calculate the LCM of 27189 and 27208.

LCM(27189,27208) = 3³ × 19¹ × 53¹ × 2³ × 179¹
LCM(27189,27208) = 38934648