Least Common Multiple of 2832 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 2832 and 2838 the smallest integer that is 1339536 that is divisible by both numbers.

Least Common Multiple (LCM) of 2832 and 2838 is 1339536.

LCM(2832,2838) = 1339536

LCM of 2832 and 2838

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

LCM of:
and

Least Common Multiple of 2832 and 2838

LCM of 2832 and 2838 is 1339536

Least common multiple can be found by multiplying the highest exponent prime factors of 2832 and 2838. First we will calculate the prime factors of 2832 and 2838.

Prime Factorization of 2832


2 2832
2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 2832 are 2, 3,59. Prime factorization of 2832 in exponential form is:

2832 = 24×31×591

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 2832 and 2838.

LCM(2832,2838) = 24×31×111×431×591
LCM(2832,2838) = 1339536

Factors of 2832

List of positive integer factors of 2832 that divides 2832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832

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 2832 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 2832 and 2838, than apply into the LCM equation.

GCF(2832,2838) = 6
LCM(2832,2838) = ( 2832 × 2838) / 6
LCM(2832,2838) = 8037216 / 6
LCM(2832,2838) = 1339536

Properties of LCM 2832 and 2838

(i) The LCM of 2838 and 2832 is associative

LCM of 2832 and 2838 = LCM of 2838 and 2832

Related Least Common Multiples of 2832

Related Least Common Multiples of 2838

Frequently Asked Questions on LCM of 2832 and 2838

1. What is the LCM of 2832 and 2838?

Answer: LCM of 2832 and 2838 is 1339536.

2. What are the Factors of 2832?

Answer: Factors of 2832 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832. There are 20 integers that are factors of 2832. The greatest factor of 2832 is 2832.

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 2832 and 2838?

Answer:

Least Common Multiple of 2832 and 2838 = 1339536

Step 1: Find the prime factorization of 2832

2832 = 2 x 2 x 2 x 2 x 3 x 59

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 = 1339536 = 2 x 2 x 2 x 2 x 3 x 11 x 43 x 59

Step 4: Therefore, the least common multiple of 2832 and 2838 is 1339536.