Least Common Multiple of 2824 and 2830

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 2830 the smallest integer that is 3995960 that is divisible by both numbers.

Least Common Multiple (LCM) of 2824 and 2830 is 3995960.

LCM(2824,2830) = 3995960

LCM of 2824 and 2830

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

LCM of:
and

Least Common Multiple of 2824 and 2830

LCM of 2824 and 2830 is 3995960

Least common multiple can be found by multiplying the highest exponent prime factors of 2824 and 2830. First we will calculate the prime factors of 2824 and 2830.

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 2830


2 2830
5 1415
283 283
1

Prime factors of 2830 are 2, 5,283. Prime factorization of 2830 in exponential form is:

2830 = 21×51×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 2824 and 2830.

LCM(2824,2830) = 23×51×2831×3531
LCM(2824,2830) = 3995960

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 2830

List of positive integer factors of 2830 that divides 2830 without a remainder.

1, 2, 5, 10, 283, 566, 1415, 2830

Least Common Multiple of 2824 and 2830 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 2830, than apply into the LCM equation.

GCF(2824,2830) = 2
LCM(2824,2830) = ( 2824 × 2830) / 2
LCM(2824,2830) = 7991920 / 2
LCM(2824,2830) = 3995960

Properties of LCM 2824 and 2830

(i) The LCM of 2830 and 2824 is associative

LCM of 2824 and 2830 = LCM of 2830 and 2824

Related Least Common Multiples of 2824

Related Least Common Multiples of 2830

Frequently Asked Questions on LCM of 2824 and 2830

1. What is the LCM of 2824 and 2830?

Answer: LCM of 2824 and 2830 is 3995960.

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 2830?

Answer: Factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830. There are 8 integers that are factors of 2830. The greatest factor of 2830 is 2830.

4. How to Find the LCM of 2824 and 2830?

Answer:

Least Common Multiple of 2824 and 2830 = 3995960

Step 1: Find the prime factorization of 2824

2824 = 2 x 2 x 2 x 353

Step 2: Find the prime factorization of 2830

2830 = 2 x 5 x 283

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

LCM = 3995960 = 2 x 2 x 2 x 5 x 283 x 353

Step 4: Therefore, the least common multiple of 2824 and 2830 is 3995960.