Least Common Multiple of 2830 and 2838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2830 and 2838 the smallest integer that is 4015770 that is divisible by both numbers.

Least Common Multiple (LCM) of 2830 and 2838 is 4015770.

LCM(2830,2838) = 4015770

LCM of 2830 and 2838

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

LCM of:
and

Least Common Multiple of 2830 and 2838

LCM of 2830 and 2838 is 4015770

Least common multiple can be found by multiplying the highest exponent prime factors of 2830 and 2838. First we will calculate the prime factors of 2830 and 2838.

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

Prime Factorization of 2838


2 2838
3 1419
11 473
43 43
1

Prime factors of 2838 are 2, 3, 11,43. Prime factorization of 2838 in exponential form is:

2838 = 21×31×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2830 and 2838.

LCM(2830,2838) = 21×31×51×111×431×2831
LCM(2830,2838) = 4015770

Factors of 2830

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

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

Factors of 2838

List of positive integer factors of 2838 that divides 2838 without a remainder.

1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838

Least Common Multiple of 2830 and 2838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2830 and 2838, than apply into the LCM equation.

GCF(2830,2838) = 2
LCM(2830,2838) = ( 2830 × 2838) / 2
LCM(2830,2838) = 8031540 / 2
LCM(2830,2838) = 4015770

Properties of LCM 2830 and 2838

(i) The LCM of 2838 and 2830 is associative

LCM of 2830 and 2838 = LCM of 2838 and 2830

Related Least Common Multiples of 2830

Related Least Common Multiples of 2838

Frequently Asked Questions on LCM of 2830 and 2838

1. What is the LCM of 2830 and 2838?

Answer: LCM of 2830 and 2838 is 4015770.

2. 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.

3. What are the Factors of 2838?

Answer: Factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838. There are 16 integers that are factors of 2838. The greatest factor of 2838 is 2838.

4. How to Find the LCM of 2830 and 2838?

Answer:

Least Common Multiple of 2830 and 2838 = 4015770

Step 1: Find the prime factorization of 2830

2830 = 2 x 5 x 283

Step 2: Find the prime factorization of 2838

2838 = 2 x 3 x 11 x 43

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

LCM = 4015770 = 2 x 3 x 5 x 11 x 43 x 283

Step 4: Therefore, the least common multiple of 2830 and 2838 is 4015770.