What is the Least Common Multiple of 6138 and 6149?

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 6138 and 6149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6138 and 6149, than apply into the LCM equation.

GCF(6138,6149) = 11
LCM(6138,6149) = ( 6138 × 6149) / 11
LCM(6138,6149) = 37742562 / 11
LCM(6138,6149) = 3431142

Least Common Multiple (LCM) of 6138 and 6149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6138 and 6149. First we will calculate the prime factors of 6138 and 6149.

Prime Factorization of 6138

Prime Factorization of 6149

Now multiplying the highest exponent prime factors to calculate the LCM of 6138 and 6149.

LCM(6138,6149) = 2¹ × 3² × 11¹ × 31¹ × 13¹ × 43¹
LCM(6138,6149) = 3431142