Least Common Multiple of 12826 and 12830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12826 and 12830 the smallest integer that is 82278790 that is divisible by both numbers.

Least Common Multiple (LCM) of 12826 and 12830 is 82278790.

LCM(12826,12830) = 82278790

LCM of 12826 and 12830

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 12826 and 12830

LCM of 12826 and 12830 is 82278790

Least common multiple can be found by multiplying the highest exponent prime factors of 12826 and 12830. First we will calculate the prime factors of 12826 and 12830.

Prime Factorization of 12826


2 12826
11 6413
11 583
53 53
1

Prime factors of 12826 are 2, 11,53. Prime factorization of 12826 in exponential form is:

12826 = 21×112×531

Prime Factorization of 12830


2 12830
5 6415
1283 1283
1

Prime factors of 12830 are 2, 5,1283. Prime factorization of 12830 in exponential form is:

12830 = 21×51×12831

Now multiplying the highest exponent prime factors to calculate the LCM of 12826 and 12830.

LCM(12826,12830) = 21×51×112×531×12831
LCM(12826,12830) = 82278790

Factors of 12826

List of positive integer factors of 12826 that divides 12826 without a remainder.

1, 2, 11, 22, 53, 106, 121, 242, 583, 1166, 6413, 12826

Factors of 12830

List of positive integer factors of 12830 that divides 12830 without a remainder.

1, 2, 5, 10, 1283, 2566, 6415, 12830

Least Common Multiple of 12826 and 12830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12826 and 12830, than apply into the LCM equation.

GCF(12826,12830) = 2
LCM(12826,12830) = ( 12826 × 12830) / 2
LCM(12826,12830) = 164557580 / 2
LCM(12826,12830) = 82278790

Properties of LCM 12826 and 12830

(i) The LCM of 12830 and 12826 is associative

LCM of 12826 and 12830 = LCM of 12830 and 12826

Related Least Common Multiples of 12826

Related Least Common Multiples of 12830

Frequently Asked Questions on LCM of 12826 and 12830

1. What is the LCM of 12826 and 12830?

Answer: LCM of 12826 and 12830 is 82278790.

2. What are the Factors of 12826?

Answer: Factors of 12826 are 1, 2, 11, 22, 53, 106, 121, 242, 583, 1166, 6413, 12826. There are 12 integers that are factors of 12826. The greatest factor of 12826 is 12826.

3. What are the Factors of 12830?

Answer: Factors of 12830 are 1, 2, 5, 10, 1283, 2566, 6415, 12830. There are 8 integers that are factors of 12830. The greatest factor of 12830 is 12830.

4. How to Find the LCM of 12826 and 12830?

Answer:

Least Common Multiple of 12826 and 12830 = 82278790

Step 1: Find the prime factorization of 12826

12826 = 2 x 11 x 11 x 53

Step 2: Find the prime factorization of 12830

12830 = 2 x 5 x 1283

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 82278790 = 2 x 5 x 11 x 11 x 53 x 1283

Step 4: Therefore, the least common multiple of 12826 and 12830 is 82278790.