Least Common Multiple of 12820 and 12828

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 12828 the smallest integer that is 41113740 that is divisible by both numbers.

Least Common Multiple (LCM) of 12820 and 12828 is 41113740.

LCM(12820,12828) = 41113740

LCM of 12820 and 12828

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

LCM of:
and

Least Common Multiple of 12820 and 12828

LCM of 12820 and 12828 is 41113740

Least common multiple can be found by multiplying the highest exponent prime factors of 12820 and 12828. First we will calculate the prime factors of 12820 and 12828.

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 12828


2 12828
2 6414
3 3207
1069 1069
1

Prime factors of 12828 are 2, 3,1069. Prime factorization of 12828 in exponential form is:

12828 = 22×31×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 12820 and 12828.

LCM(12820,12828) = 22×31×51×6411×10691
LCM(12820,12828) = 41113740

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 12828

List of positive integer factors of 12828 that divides 12828 without a remainder.

1, 2, 3, 4, 6, 12, 1069, 2138, 3207, 4276, 6414, 12828

Least Common Multiple of 12820 and 12828 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 12828, than apply into the LCM equation.

GCF(12820,12828) = 4
LCM(12820,12828) = ( 12820 × 12828) / 4
LCM(12820,12828) = 164454960 / 4
LCM(12820,12828) = 41113740

Properties of LCM 12820 and 12828

(i) The LCM of 12828 and 12820 is associative

LCM of 12820 and 12828 = LCM of 12828 and 12820

Related Least Common Multiples of 12820

Related Least Common Multiples of 12828

Frequently Asked Questions on LCM of 12820 and 12828

1. What is the LCM of 12820 and 12828?

Answer: LCM of 12820 and 12828 is 41113740.

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 12828?

Answer: Factors of 12828 are 1, 2, 3, 4, 6, 12, 1069, 2138, 3207, 4276, 6414, 12828. There are 12 integers that are factors of 12828. The greatest factor of 12828 is 12828.

4. How to Find the LCM of 12820 and 12828?

Answer:

Least Common Multiple of 12820 and 12828 = 41113740

Step 1: Find the prime factorization of 12820

12820 = 2 x 2 x 5 x 641

Step 2: Find the prime factorization of 12828

12828 = 2 x 2 x 3 x 1069

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

LCM = 41113740 = 2 x 2 x 3 x 5 x 641 x 1069

Step 4: Therefore, the least common multiple of 12820 and 12828 is 41113740.