GCF and LCM Calculator Logo

What is the Least Common Multiple of 22854 and 22864?

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 22854 and 22864 is 261266928.

LCM(22854,22864) = 261266928

LCM Calculator and
and

Least Common Multiple of 22854 and 22864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22854 and 22864, than apply into the LCM equation.

GCF(22854,22864) = 2
LCM(22854,22864) = ( 22854 × 22864) / 2
LCM(22854,22864) = 522533856 / 2
LCM(22854,22864) = 261266928

Least Common Multiple (LCM) of 22854 and 22864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22854 and 22864. First we will calculate the prime factors of 22854 and 22864.

Prime Factorization of 22854

Prime factors of 22854 are 2, 3, 13, 293. Prime factorization of 22854 in exponential form is:

22854 = 21 × 31 × 131 × 2931

Prime Factorization of 22864

Prime factors of 22864 are 2, 1429. Prime factorization of 22864 in exponential form is:

22864 = 24 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 22854 and 22864.

LCM(22854,22864) = 24 × 31 × 131 × 2931 × 14291
LCM(22854,22864) = 261266928