GCF and LCM Calculator Logo

What is the Least Common Multiple of 6122 and 6131?

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 6122 and 6131 is 37533982.

LCM(6122,6131) = 37533982

LCM Calculator and
and

Least Common Multiple of 6122 and 6131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6122 and 6131, than apply into the LCM equation.

GCF(6122,6131) = 1
LCM(6122,6131) = ( 6122 × 6131) / 1
LCM(6122,6131) = 37533982 / 1
LCM(6122,6131) = 37533982

Least Common Multiple (LCM) of 6122 and 6131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6122 and 6131. First we will calculate the prime factors of 6122 and 6131.

Prime Factorization of 6122

Prime factors of 6122 are 2, 3061. Prime factorization of 6122 in exponential form is:

6122 = 21 × 30611

Prime Factorization of 6131

Prime factors of 6131 are 6131. Prime factorization of 6131 in exponential form is:

6131 = 61311

Now multiplying the highest exponent prime factors to calculate the LCM of 6122 and 6131.

LCM(6122,6131) = 21 × 30611 × 61311
LCM(6122,6131) = 37533982