GCF and LCM Calculator Logo

What is the Least Common Multiple of 10900 and 10910?

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 10900 and 10910 is 11891900.

LCM(10900,10910) = 11891900

LCM Calculator and
and

Least Common Multiple of 10900 and 10910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10900 and 10910, than apply into the LCM equation.

GCF(10900,10910) = 10
LCM(10900,10910) = ( 10900 × 10910) / 10
LCM(10900,10910) = 118919000 / 10
LCM(10900,10910) = 11891900

Least Common Multiple (LCM) of 10900 and 10910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10900 and 10910. First we will calculate the prime factors of 10900 and 10910.

Prime Factorization of 10900

Prime factors of 10900 are 2, 5, 109. Prime factorization of 10900 in exponential form is:

10900 = 22 × 52 × 1091

Prime Factorization of 10910

Prime factors of 10910 are 2, 5, 1091. Prime factorization of 10910 in exponential form is:

10910 = 21 × 51 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 10900 and 10910.

LCM(10900,10910) = 22 × 52 × 1091 × 10911
LCM(10900,10910) = 11891900