What is the Least Common Multiple of 6128 and 6138?

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 6128 and 6138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6128 and 6138, than apply into the LCM equation.

GCF(6128,6138) = 2
LCM(6128,6138) = ( 6128 × 6138) / 2
LCM(6128,6138) = 37613664 / 2
LCM(6128,6138) = 18806832

Least Common Multiple (LCM) of 6128 and 6138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6128 and 6138. First we will calculate the prime factors of 6128 and 6138.

Prime Factorization of 6128

Prime Factorization of 6138

Now multiplying the highest exponent prime factors to calculate the LCM of 6128 and 6138.

LCM(6128,6138) = 2⁴ × 383¹ × 3² × 11¹ × 31¹
LCM(6128,6138) = 18806832