GCF and LCM Calculator Logo

What is the Least Common Multiple of 10896 and 10905?

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 10896 and 10905 is 39606960.

LCM(10896,10905) = 39606960

LCM Calculator and
and

Least Common Multiple of 10896 and 10905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10896 and 10905, than apply into the LCM equation.

GCF(10896,10905) = 3
LCM(10896,10905) = ( 10896 × 10905) / 3
LCM(10896,10905) = 118820880 / 3
LCM(10896,10905) = 39606960

Least Common Multiple (LCM) of 10896 and 10905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10896 and 10905. First we will calculate the prime factors of 10896 and 10905.

Prime Factorization of 10896

Prime factors of 10896 are 2, 3, 227. Prime factorization of 10896 in exponential form is:

10896 = 24 × 31 × 2271

Prime Factorization of 10905

Prime factors of 10905 are 3, 5, 727. Prime factorization of 10905 in exponential form is:

10905 = 31 × 51 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 10896 and 10905.

LCM(10896,10905) = 24 × 31 × 2271 × 51 × 7271
LCM(10896,10905) = 39606960