GCF and LCM Calculator Logo

What is the Least Common Multiple of 10834 and 10853?

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 10834 and 10853 is 117581402.

LCM(10834,10853) = 117581402

LCM Calculator and
and

Least Common Multiple of 10834 and 10853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10834 and 10853, than apply into the LCM equation.

GCF(10834,10853) = 1
LCM(10834,10853) = ( 10834 × 10853) / 1
LCM(10834,10853) = 117581402 / 1
LCM(10834,10853) = 117581402

Least Common Multiple (LCM) of 10834 and 10853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10834 and 10853. First we will calculate the prime factors of 10834 and 10853.

Prime Factorization of 10834

Prime factors of 10834 are 2, 5417. Prime factorization of 10834 in exponential form is:

10834 = 21 × 54171

Prime Factorization of 10853

Prime factors of 10853 are 10853. Prime factorization of 10853 in exponential form is:

10853 = 108531

Now multiplying the highest exponent prime factors to calculate the LCM of 10834 and 10853.

LCM(10834,10853) = 21 × 54171 × 108531
LCM(10834,10853) = 117581402