GCF and LCM Calculator Logo

What is the Least Common Multiple of 10862 and 10882?

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 10862 and 10882 is 59100142.

LCM(10862,10882) = 59100142

LCM Calculator and
and

Least Common Multiple of 10862 and 10882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10862 and 10882, than apply into the LCM equation.

GCF(10862,10882) = 2
LCM(10862,10882) = ( 10862 × 10882) / 2
LCM(10862,10882) = 118200284 / 2
LCM(10862,10882) = 59100142

Least Common Multiple (LCM) of 10862 and 10882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10862 and 10882. First we will calculate the prime factors of 10862 and 10882.

Prime Factorization of 10862

Prime factors of 10862 are 2, 5431. Prime factorization of 10862 in exponential form is:

10862 = 21 × 54311

Prime Factorization of 10882

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

10882 = 21 × 54411

Now multiplying the highest exponent prime factors to calculate the LCM of 10862 and 10882.

LCM(10862,10882) = 21 × 54311 × 54411
LCM(10862,10882) = 59100142