GCF and LCM Calculator Logo

What is the Least Common Multiple of 54263 and 54268?

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 54263 and 54268 is 2944744484.

LCM(54263,54268) = 2944744484

LCM Calculator and
and

Least Common Multiple of 54263 and 54268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54263 and 54268, than apply into the LCM equation.

GCF(54263,54268) = 1
LCM(54263,54268) = ( 54263 × 54268) / 1
LCM(54263,54268) = 2944744484 / 1
LCM(54263,54268) = 2944744484

Least Common Multiple (LCM) of 54263 and 54268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54263 and 54268. First we will calculate the prime factors of 54263 and 54268.

Prime Factorization of 54263

Prime factors of 54263 are 11, 4933. Prime factorization of 54263 in exponential form is:

54263 = 111 × 49331

Prime Factorization of 54268

Prime factors of 54268 are 2, 13567. Prime factorization of 54268 in exponential form is:

54268 = 22 × 135671

Now multiplying the highest exponent prime factors to calculate the LCM of 54263 and 54268.

LCM(54263,54268) = 111 × 49331 × 22 × 135671
LCM(54263,54268) = 2944744484