GCF and LCM Calculator Logo

What is the Least Common Multiple of 2431 and 2436?

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 2431 and 2436 is 5921916.

LCM(2431,2436) = 5921916

LCM Calculator and
and

Least Common Multiple of 2431 and 2436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2431 and 2436, than apply into the LCM equation.

GCF(2431,2436) = 1
LCM(2431,2436) = ( 2431 × 2436) / 1
LCM(2431,2436) = 5921916 / 1
LCM(2431,2436) = 5921916

Least Common Multiple (LCM) of 2431 and 2436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2431 and 2436. First we will calculate the prime factors of 2431 and 2436.

Prime Factorization of 2431

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

2431 = 111 × 131 × 171

Prime Factorization of 2436

Prime factors of 2436 are 2, 3, 7, 29. Prime factorization of 2436 in exponential form is:

2436 = 22 × 31 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 2431 and 2436.

LCM(2431,2436) = 111 × 131 × 171 × 22 × 31 × 71 × 291
LCM(2431,2436) = 5921916