What is the Least Common Multiple of 27174 and 27191?

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 27174 and 27191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27174 and 27191, than apply into the LCM equation.

GCF(27174,27191) = 1
LCM(27174,27191) = ( 27174 × 27191) / 1
LCM(27174,27191) = 738888234 / 1
LCM(27174,27191) = 738888234

Least Common Multiple (LCM) of 27174 and 27191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27174 and 27191. First we will calculate the prime factors of 27174 and 27191.

Prime Factorization of 27174

Prime Factorization of 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 27174 and 27191.

LCM(27174,27191) = 2¹ × 3¹ × 7¹ × 647¹ × 27191¹
LCM(27174,27191) = 738888234