Least Common Multiple of 2824 and 2831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2824 and 2831 the smallest integer that is 7994744 that is divisible by both numbers.

Least Common Multiple (LCM) of 2824 and 2831 is 7994744.

LCM(2824,2831) = 7994744

LCM of 2824 and 2831

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

LCM of:
and

Least Common Multiple of 2824 and 2831

LCM of 2824 and 2831 is 7994744

Least common multiple can be found by multiplying the highest exponent prime factors of 2824 and 2831. First we will calculate the prime factors of 2824 and 2831.

Prime Factorization of 2824


2 2824
2 1412
2 706
353 353
1

Prime factors of 2824 are 2,353. Prime factorization of 2824 in exponential form is:

2824 = 23×3531

Prime Factorization of 2831


19 2831
149 149
1

Prime factors of 2831 are 19,149. Prime factorization of 2831 in exponential form is:

2831 = 191×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2824 and 2831.

LCM(2824,2831) = 23×191×1491×3531
LCM(2824,2831) = 7994744

Factors of 2824

List of positive integer factors of 2824 that divides 2824 without a remainder.

1, 2, 4, 8, 353, 706, 1412, 2824

Factors of 2831

List of positive integer factors of 2831 that divides 2831 without a remainder.

1, 19, 149, 2831

Least Common Multiple of 2824 and 2831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2824 and 2831, than apply into the LCM equation.

GCF(2824,2831) = 1
LCM(2824,2831) = ( 2824 × 2831) / 1
LCM(2824,2831) = 7994744 / 1
LCM(2824,2831) = 7994744

Properties of LCM 2824 and 2831

(i) The LCM of 2831 and 2824 is associative

LCM of 2824 and 2831 = LCM of 2831 and 2824

Related Least Common Multiples of 2824

Related Least Common Multiples of 2831

Frequently Asked Questions on LCM of 2824 and 2831

1. What is the LCM of 2824 and 2831?

Answer: LCM of 2824 and 2831 is 7994744.

2. What are the Factors of 2824?

Answer: Factors of 2824 are 1, 2, 4, 8, 353, 706, 1412, 2824. There are 8 integers that are factors of 2824. The greatest factor of 2824 is 2824.

3. What are the Factors of 2831?

Answer: Factors of 2831 are 1, 19, 149, 2831. There are 4 integers that are factors of 2831. The greatest factor of 2831 is 2831.

4. How to Find the LCM of 2824 and 2831?

Answer:

Least Common Multiple of 2824 and 2831 = 7994744

Step 1: Find the prime factorization of 2824

2824 = 2 x 2 x 2 x 353

Step 2: Find the prime factorization of 2831

2831 = 19 x 149

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

LCM = 7994744 = 2 x 2 x 2 x 19 x 149 x 353

Step 4: Therefore, the least common multiple of 2824 and 2831 is 7994744.