Least Common Multiple of 12820 and 12824

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 12824 the smallest integer that is 41100920 that is divisible by both numbers.

Least Common Multiple (LCM) of 12820 and 12824 is 41100920.

LCM(12820,12824) = 41100920

LCM of 12820 and 12824

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

LCM of:
and

Least Common Multiple of 12820 and 12824

LCM of 12820 and 12824 is 41100920

Least common multiple can be found by multiplying the highest exponent prime factors of 12820 and 12824. First we will calculate the prime factors of 12820 and 12824.

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 12824


2 12824
2 6412
2 3206
7 1603
229 229
1

Prime factors of 12824 are 2, 7,229. Prime factorization of 12824 in exponential form is:

12824 = 23×71×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 12820 and 12824.

LCM(12820,12824) = 23×51×71×2291×6411
LCM(12820,12824) = 41100920

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 12824

List of positive integer factors of 12824 that divides 12824 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 229, 458, 916, 1603, 1832, 3206, 6412, 12824

Least Common Multiple of 12820 and 12824 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 12824, than apply into the LCM equation.

GCF(12820,12824) = 4
LCM(12820,12824) = ( 12820 × 12824) / 4
LCM(12820,12824) = 164403680 / 4
LCM(12820,12824) = 41100920

Properties of LCM 12820 and 12824

(i) The LCM of 12824 and 12820 is associative

LCM of 12820 and 12824 = LCM of 12824 and 12820

Related Least Common Multiples of 12820

Related Least Common Multiples of 12824

Frequently Asked Questions on LCM of 12820 and 12824

1. What is the LCM of 12820 and 12824?

Answer: LCM of 12820 and 12824 is 41100920.

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 12824?

Answer: Factors of 12824 are 1, 2, 4, 7, 8, 14, 28, 56, 229, 458, 916, 1603, 1832, 3206, 6412, 12824. There are 16 integers that are factors of 12824. The greatest factor of 12824 is 12824.

4. How to Find the LCM of 12820 and 12824?

Answer:

Least Common Multiple of 12820 and 12824 = 41100920

Step 1: Find the prime factorization of 12820

12820 = 2 x 2 x 5 x 641

Step 2: Find the prime factorization of 12824

12824 = 2 x 2 x 2 x 7 x 229

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

LCM = 41100920 = 2 x 2 x 2 x 5 x 7 x 229 x 641

Step 4: Therefore, the least common multiple of 12820 and 12824 is 41100920.