GCF and LCM Calculator Logo

What is the Least Common Multiple of 55831 and 55844?

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 55831 and 55844 is 3117826364.

LCM(55831,55844) = 3117826364

LCM Calculator and
and

Least Common Multiple of 55831 and 55844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55831 and 55844, than apply into the LCM equation.

GCF(55831,55844) = 1
LCM(55831,55844) = ( 55831 × 55844) / 1
LCM(55831,55844) = 3117826364 / 1
LCM(55831,55844) = 3117826364

Least Common Multiple (LCM) of 55831 and 55844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55831 and 55844. First we will calculate the prime factors of 55831 and 55844.

Prime Factorization of 55831

Prime factors of 55831 are 31, 1801. Prime factorization of 55831 in exponential form is:

55831 = 311 × 18011

Prime Factorization of 55844

Prime factors of 55844 are 2, 23, 607. Prime factorization of 55844 in exponential form is:

55844 = 22 × 231 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 55831 and 55844.

LCM(55831,55844) = 311 × 18011 × 22 × 231 × 6071
LCM(55831,55844) = 3117826364