GCF and LCM Calculator Logo

What is the Least Common Multiple of 10312 and 10320?

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 10312 and 10320 is 13302480.

LCM(10312,10320) = 13302480

LCM Calculator and
and

Least Common Multiple of 10312 and 10320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10312 and 10320, than apply into the LCM equation.

GCF(10312,10320) = 8
LCM(10312,10320) = ( 10312 × 10320) / 8
LCM(10312,10320) = 106419840 / 8
LCM(10312,10320) = 13302480

Least Common Multiple (LCM) of 10312 and 10320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10312 and 10320. First we will calculate the prime factors of 10312 and 10320.

Prime Factorization of 10312

Prime factors of 10312 are 2, 1289. Prime factorization of 10312 in exponential form is:

10312 = 23 × 12891

Prime Factorization of 10320

Prime factors of 10320 are 2, 3, 5, 43. Prime factorization of 10320 in exponential form is:

10320 = 24 × 31 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 10312 and 10320.

LCM(10312,10320) = 24 × 12891 × 31 × 51 × 431
LCM(10312,10320) = 13302480