GCF and LCM Calculator Logo

What is the Least Common Multiple of 54882 and 54901?

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 54882 and 54901 is 3013076682.

LCM(54882,54901) = 3013076682

LCM Calculator and
and

Least Common Multiple of 54882 and 54901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54882 and 54901, than apply into the LCM equation.

GCF(54882,54901) = 1
LCM(54882,54901) = ( 54882 × 54901) / 1
LCM(54882,54901) = 3013076682 / 1
LCM(54882,54901) = 3013076682

Least Common Multiple (LCM) of 54882 and 54901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54882 and 54901. First we will calculate the prime factors of 54882 and 54901.

Prime Factorization of 54882

Prime factors of 54882 are 2, 3, 3049. Prime factorization of 54882 in exponential form is:

54882 = 21 × 32 × 30491

Prime Factorization of 54901

Prime factors of 54901 are 7, 11, 23, 31. Prime factorization of 54901 in exponential form is:

54901 = 71 × 111 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 54882 and 54901.

LCM(54882,54901) = 21 × 32 × 30491 × 71 × 111 × 231 × 311
LCM(54882,54901) = 3013076682