GCF and LCM Calculator Logo

What is the Least Common Multiple of 2422 and 2431?

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 2422 and 2431 is 5887882.

LCM(2422,2431) = 5887882

LCM Calculator and
and

Least Common Multiple of 2422 and 2431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2422 and 2431, than apply into the LCM equation.

GCF(2422,2431) = 1
LCM(2422,2431) = ( 2422 × 2431) / 1
LCM(2422,2431) = 5887882 / 1
LCM(2422,2431) = 5887882

Least Common Multiple (LCM) of 2422 and 2431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2422 and 2431. First we will calculate the prime factors of 2422 and 2431.

Prime Factorization of 2422

Prime factors of 2422 are 2, 7, 173. Prime factorization of 2422 in exponential form is:

2422 = 21 × 71 × 1731

Prime Factorization of 2431

Prime factors of 2431 are 11, 13, 17. Prime factorization of 2431 in exponential form is:

2431 = 111 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 2422 and 2431.

LCM(2422,2431) = 21 × 71 × 1731 × 111 × 131 × 171
LCM(2422,2431) = 5887882