GCF and LCM Calculator Logo

What is the Least Common Multiple of 2332 and 2352?

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 2332 and 2352 is 1371216.

LCM(2332,2352) = 1371216

LCM Calculator and
and

Least Common Multiple of 2332 and 2352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2332 and 2352, than apply into the LCM equation.

GCF(2332,2352) = 4
LCM(2332,2352) = ( 2332 × 2352) / 4
LCM(2332,2352) = 5484864 / 4
LCM(2332,2352) = 1371216

Least Common Multiple (LCM) of 2332 and 2352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2332 and 2352. First we will calculate the prime factors of 2332 and 2352.

Prime Factorization of 2332

Prime factors of 2332 are 2, 11, 53. Prime factorization of 2332 in exponential form is:

2332 = 22 × 111 × 531

Prime Factorization of 2352

Prime factors of 2352 are 2, 3, 7. Prime factorization of 2352 in exponential form is:

2352 = 24 × 31 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 2332 and 2352.

LCM(2332,2352) = 24 × 111 × 531 × 31 × 72
LCM(2332,2352) = 1371216