Least Common Multiple of 12820 and 12826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12820 and 12826 the smallest integer that is 82214660 that is divisible by both numbers.

Least Common Multiple (LCM) of 12820 and 12826 is 82214660.

LCM(12820,12826) = 82214660

LCM of 12820 and 12826

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

LCM of:
and

Least Common Multiple of 12820 and 12826

LCM of 12820 and 12826 is 82214660

Least common multiple can be found by multiplying the highest exponent prime factors of 12820 and 12826. First we will calculate the prime factors of 12820 and 12826.

Prime Factorization of 12820


2 12820
2 6410
5 3205
641 641
1

Prime factors of 12820 are 2, 5,641. Prime factorization of 12820 in exponential form is:

12820 = 22×51×6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12820 and 12826.

LCM(12820,12826) = 22×51×112×531×6411
LCM(12820,12826) = 82214660

Factors of 12820

List of positive integer factors of 12820 that divides 12820 without a remainder.

1, 2, 4, 5, 10, 20, 641, 1282, 2564, 3205, 6410, 12820

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

Least Common Multiple of 12820 and 12826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12820 and 12826, than apply into the LCM equation.

GCF(12820,12826) = 2
LCM(12820,12826) = ( 12820 × 12826) / 2
LCM(12820,12826) = 164429320 / 2
LCM(12820,12826) = 82214660

Properties of LCM 12820 and 12826

(i) The LCM of 12826 and 12820 is associative

LCM of 12820 and 12826 = LCM of 12826 and 12820

Related Least Common Multiples of 12820

Related Least Common Multiples of 12826

Frequently Asked Questions on LCM of 12820 and 12826

1. What is the LCM of 12820 and 12826?

Answer: LCM of 12820 and 12826 is 82214660.

2. What are the Factors of 12820?

Answer: Factors of 12820 are 1, 2, 4, 5, 10, 20, 641, 1282, 2564, 3205, 6410, 12820. There are 12 integers that are factors of 12820. The greatest factor of 12820 is 12820.

3. 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.

4. How to Find the LCM of 12820 and 12826?

Answer:

Least Common Multiple of 12820 and 12826 = 82214660

Step 1: Find the prime factorization of 12820

12820 = 2 x 2 x 5 x 641

Step 2: Find the prime factorization of 12826

12826 = 2 x 11 x 11 x 53

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

LCM = 82214660 = 2 x 2 x 5 x 11 x 11 x 53 x 641

Step 4: Therefore, the least common multiple of 12820 and 12826 is 82214660.