GCF and LCM Calculator Logo

What is the Least Common Multiple of 55822 and 55829?

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 55822 and 55829 is 3116486438.

LCM(55822,55829) = 3116486438

LCM Calculator and
and

Least Common Multiple of 55822 and 55829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55822 and 55829, than apply into the LCM equation.

GCF(55822,55829) = 1
LCM(55822,55829) = ( 55822 × 55829) / 1
LCM(55822,55829) = 3116486438 / 1
LCM(55822,55829) = 3116486438

Least Common Multiple (LCM) of 55822 and 55829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55822 and 55829. First we will calculate the prime factors of 55822 and 55829.

Prime Factorization of 55822

Prime factors of 55822 are 2, 13, 19, 113. Prime factorization of 55822 in exponential form is:

55822 = 21 × 131 × 191 × 1131

Prime Factorization of 55829

Prime factors of 55829 are 55829. Prime factorization of 55829 in exponential form is:

55829 = 558291

Now multiplying the highest exponent prime factors to calculate the LCM of 55822 and 55829.

LCM(55822,55829) = 21 × 131 × 191 × 1131 × 558291
LCM(55822,55829) = 3116486438