GCF and LCM Calculator Logo

What is the Least Common Multiple of 55788 and 55796?

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 55788 and 55796 is 778186812.

LCM(55788,55796) = 778186812

LCM Calculator and
and

Least Common Multiple of 55788 and 55796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55788 and 55796, than apply into the LCM equation.

GCF(55788,55796) = 4
LCM(55788,55796) = ( 55788 × 55796) / 4
LCM(55788,55796) = 3112747248 / 4
LCM(55788,55796) = 778186812

Least Common Multiple (LCM) of 55788 and 55796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55788 and 55796. First we will calculate the prime factors of 55788 and 55796.

Prime Factorization of 55788

Prime factors of 55788 are 2, 3, 4649. Prime factorization of 55788 in exponential form is:

55788 = 22 × 31 × 46491

Prime Factorization of 55796

Prime factors of 55796 are 2, 13, 29, 37. Prime factorization of 55796 in exponential form is:

55796 = 22 × 131 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 55788 and 55796.

LCM(55788,55796) = 22 × 31 × 46491 × 131 × 291 × 371
LCM(55788,55796) = 778186812