GCF and LCM Calculator Logo

What is the Least Common Multiple of 2392 and 2397?

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 2392 and 2397 is 5733624.

LCM(2392,2397) = 5733624

LCM Calculator and
and

Least Common Multiple of 2392 and 2397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2392 and 2397, than apply into the LCM equation.

GCF(2392,2397) = 1
LCM(2392,2397) = ( 2392 × 2397) / 1
LCM(2392,2397) = 5733624 / 1
LCM(2392,2397) = 5733624

Least Common Multiple (LCM) of 2392 and 2397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2392 and 2397. First we will calculate the prime factors of 2392 and 2397.

Prime Factorization of 2392

Prime factors of 2392 are 2, 13, 23. Prime factorization of 2392 in exponential form is:

2392 = 23 × 131 × 231

Prime Factorization of 2397

Prime factors of 2397 are 3, 17, 47. Prime factorization of 2397 in exponential form is:

2397 = 31 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2392 and 2397.

LCM(2392,2397) = 23 × 131 × 231 × 31 × 171 × 471
LCM(2392,2397) = 5733624