GCF and LCM Calculator Logo

What is the Least Common Multiple of 6134 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 (LCM) of 6134 and 6138 is 18825246.

LCM(6134,6138) = 18825246

LCM Calculator and
and

Least Common Multiple of 6134 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 6134 and 6138, than apply into the LCM equation.

GCF(6134,6138) = 2
LCM(6134,6138) = ( 6134 × 6138) / 2
LCM(6134,6138) = 37650492 / 2
LCM(6134,6138) = 18825246

Least Common Multiple (LCM) of 6134 and 6138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6134 and 6138. First we will calculate the prime factors of 6134 and 6138.

Prime Factorization of 6134

Prime factors of 6134 are 2, 3067. Prime factorization of 6134 in exponential form is:

6134 = 21 × 30671

Prime Factorization of 6138

Prime factors of 6138 are 2, 3, 11, 31. Prime factorization of 6138 in exponential form is:

6138 = 21 × 32 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 6134 and 6138.

LCM(6134,6138) = 21 × 30671 × 32 × 111 × 311
LCM(6134,6138) = 18825246