GCF and LCM Calculator Logo

What is the Least Common Multiple of 10822 and 10831?

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 10822 and 10831 is 117213082.

LCM(10822,10831) = 117213082

LCM Calculator and
and

Least Common Multiple of 10822 and 10831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10822 and 10831, than apply into the LCM equation.

GCF(10822,10831) = 1
LCM(10822,10831) = ( 10822 × 10831) / 1
LCM(10822,10831) = 117213082 / 1
LCM(10822,10831) = 117213082

Least Common Multiple (LCM) of 10822 and 10831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10822 and 10831. First we will calculate the prime factors of 10822 and 10831.

Prime Factorization of 10822

Prime factors of 10822 are 2, 7, 773. Prime factorization of 10822 in exponential form is:

10822 = 21 × 71 × 7731

Prime Factorization of 10831

Prime factors of 10831 are 10831. Prime factorization of 10831 in exponential form is:

10831 = 108311

Now multiplying the highest exponent prime factors to calculate the LCM of 10822 and 10831.

LCM(10822,10831) = 21 × 71 × 7731 × 108311
LCM(10822,10831) = 117213082