GCF and LCM Calculator Logo

What is the Least Common Multiple of 55328 and 55340?

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 55328 and 55340 is 765462880.

LCM(55328,55340) = 765462880

LCM Calculator and
and

Least Common Multiple of 55328 and 55340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55328 and 55340, than apply into the LCM equation.

GCF(55328,55340) = 4
LCM(55328,55340) = ( 55328 × 55340) / 4
LCM(55328,55340) = 3061851520 / 4
LCM(55328,55340) = 765462880

Least Common Multiple (LCM) of 55328 and 55340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55328 and 55340. First we will calculate the prime factors of 55328 and 55340.

Prime Factorization of 55328

Prime factors of 55328 are 2, 7, 13, 19. Prime factorization of 55328 in exponential form is:

55328 = 25 × 71 × 131 × 191

Prime Factorization of 55340

Prime factors of 55340 are 2, 5, 2767. Prime factorization of 55340 in exponential form is:

55340 = 22 × 51 × 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 55328 and 55340.

LCM(55328,55340) = 25 × 71 × 131 × 191 × 51 × 27671
LCM(55328,55340) = 765462880