GCF and LCM Calculator Logo

What is the Least Common Multiple of 54491 and 54511?

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 54491 and 54511 is 2970358901.

LCM(54491,54511) = 2970358901

LCM Calculator and
and

Least Common Multiple of 54491 and 54511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54491 and 54511, than apply into the LCM equation.

GCF(54491,54511) = 1
LCM(54491,54511) = ( 54491 × 54511) / 1
LCM(54491,54511) = 2970358901 / 1
LCM(54491,54511) = 2970358901

Least Common Multiple (LCM) of 54491 and 54511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54491 and 54511. First we will calculate the prime factors of 54491 and 54511.

Prime Factorization of 54491

Prime factors of 54491 are 29, 1879. Prime factorization of 54491 in exponential form is:

54491 = 291 × 18791

Prime Factorization of 54511

Prime factors of 54511 are 19, 151. Prime factorization of 54511 in exponential form is:

54511 = 192 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 54491 and 54511.

LCM(54491,54511) = 291 × 18791 × 192 × 1511
LCM(54491,54511) = 2970358901