What is the Least Common Multiple of 5174 and 5189?

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 5174 and 5189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5174 and 5189, than apply into the LCM equation.

GCF(5174,5189) = 1
LCM(5174,5189) = ( 5174 × 5189) / 1
LCM(5174,5189) = 26847886 / 1
LCM(5174,5189) = 26847886

Least Common Multiple (LCM) of 5174 and 5189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5174 and 5189. First we will calculate the prime factors of 5174 and 5189.

Prime Factorization of 5174

Prime Factorization of 5189

Now multiplying the highest exponent prime factors to calculate the LCM of 5174 and 5189.

LCM(5174,5189) = 2¹ × 13¹ × 199¹ × 5189¹
LCM(5174,5189) = 26847886