GCF and LCM Calculator Logo

What is the Least Common Multiple of 52439 and 52454?

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 52439 and 52454 is 2750635306.

LCM(52439,52454) = 2750635306

LCM Calculator and
and

Least Common Multiple of 52439 and 52454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52439 and 52454, than apply into the LCM equation.

GCF(52439,52454) = 1
LCM(52439,52454) = ( 52439 × 52454) / 1
LCM(52439,52454) = 2750635306 / 1
LCM(52439,52454) = 2750635306

Least Common Multiple (LCM) of 52439 and 52454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52439 and 52454. First we will calculate the prime factors of 52439 and 52454.

Prime Factorization of 52439

Prime factors of 52439 are 41, 1279. Prime factorization of 52439 in exponential form is:

52439 = 411 × 12791

Prime Factorization of 52454

Prime factors of 52454 are 2, 26227. Prime factorization of 52454 in exponential form is:

52454 = 21 × 262271

Now multiplying the highest exponent prime factors to calculate the LCM of 52439 and 52454.

LCM(52439,52454) = 411 × 12791 × 21 × 262271
LCM(52439,52454) = 2750635306