GCF and LCM Calculator Logo

What is the Least Common Multiple of 29555 and 29571?

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 29555 and 29571 is 873970905.

LCM(29555,29571) = 873970905

LCM Calculator and
and

Least Common Multiple of 29555 and 29571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29555 and 29571, than apply into the LCM equation.

GCF(29555,29571) = 1
LCM(29555,29571) = ( 29555 × 29571) / 1
LCM(29555,29571) = 873970905 / 1
LCM(29555,29571) = 873970905

Least Common Multiple (LCM) of 29555 and 29571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29555 and 29571. First we will calculate the prime factors of 29555 and 29571.

Prime Factorization of 29555

Prime factors of 29555 are 5, 23, 257. Prime factorization of 29555 in exponential form is:

29555 = 51 × 231 × 2571

Prime Factorization of 29571

Prime factors of 29571 are 3, 9857. Prime factorization of 29571 in exponential form is:

29571 = 31 × 98571

Now multiplying the highest exponent prime factors to calculate the LCM of 29555 and 29571.

LCM(29555,29571) = 51 × 231 × 2571 × 31 × 98571
LCM(29555,29571) = 873970905