GCF and LCM Calculator Logo

What is the Least Common Multiple of 10882 and 10897?

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 10882 and 10897 is 118581154.

LCM(10882,10897) = 118581154

LCM Calculator and
and

Least Common Multiple of 10882 and 10897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10882 and 10897, than apply into the LCM equation.

GCF(10882,10897) = 1
LCM(10882,10897) = ( 10882 × 10897) / 1
LCM(10882,10897) = 118581154 / 1
LCM(10882,10897) = 118581154

Least Common Multiple (LCM) of 10882 and 10897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10882 and 10897. First we will calculate the prime factors of 10882 and 10897.

Prime Factorization of 10882

Prime factors of 10882 are 2, 5441. Prime factorization of 10882 in exponential form is:

10882 = 21 × 54411

Prime Factorization of 10897

Prime factors of 10897 are 17, 641. Prime factorization of 10897 in exponential form is:

10897 = 171 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 10882 and 10897.

LCM(10882,10897) = 21 × 54411 × 171 × 6411
LCM(10882,10897) = 118581154