Least Common Multiple of 2832 and 2840

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 2840 the smallest integer that is 1005360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2832 and 2840 is 1005360.

LCM(2832,2840) = 1005360

LCM of 2832 and 2840

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

LCM of:
and

Least Common Multiple of 2832 and 2840

LCM of 2832 and 2840 is 1005360

Least common multiple can be found by multiplying the highest exponent prime factors of 2832 and 2840. First we will calculate the prime factors of 2832 and 2840.

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 2840


2 2840
2 1420
2 710
5 355
71 71
1

Prime factors of 2840 are 2, 5,71. Prime factorization of 2840 in exponential form is:

2840 = 23×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2832 and 2840.

LCM(2832,2840) = 24×31×51×591×711
LCM(2832,2840) = 1005360

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 2840

List of positive integer factors of 2840 that divides 2840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840

Least Common Multiple of 2832 and 2840 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 2840, than apply into the LCM equation.

GCF(2832,2840) = 8
LCM(2832,2840) = ( 2832 × 2840) / 8
LCM(2832,2840) = 8042880 / 8
LCM(2832,2840) = 1005360

Properties of LCM 2832 and 2840

(i) The LCM of 2840 and 2832 is associative

LCM of 2832 and 2840 = LCM of 2840 and 2832

Related Least Common Multiples of 2832

Related Least Common Multiples of 2840

Frequently Asked Questions on LCM of 2832 and 2840

1. What is the LCM of 2832 and 2840?

Answer: LCM of 2832 and 2840 is 1005360.

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 2840?

Answer: Factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840. There are 16 integers that are factors of 2840. The greatest factor of 2840 is 2840.

4. How to Find the LCM of 2832 and 2840?

Answer:

Least Common Multiple of 2832 and 2840 = 1005360

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 2840

2840 = 2 x 2 x 2 x 5 x 71

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

LCM = 1005360 = 2 x 2 x 2 x 2 x 3 x 5 x 59 x 71

Step 4: Therefore, the least common multiple of 2832 and 2840 is 1005360.