Least Common Multiple of 2832 and 2837

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 2837 the smallest integer that is 8034384 that is divisible by both numbers.

Least Common Multiple (LCM) of 2832 and 2837 is 8034384.

LCM(2832,2837) = 8034384

LCM of 2832 and 2837

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

LCM of:
and

Least Common Multiple of 2832 and 2837

LCM of 2832 and 2837 is 8034384

Least common multiple can be found by multiplying the highest exponent prime factors of 2832 and 2837. First we will calculate the prime factors of 2832 and 2837.

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 2837


2837 2837
1

Prime factors of 2837 are 2837. Prime factorization of 2837 in exponential form is:

2837 = 28371

Now multiplying the highest exponent prime factors to calculate the LCM of 2832 and 2837.

LCM(2832,2837) = 24×31×591×28371
LCM(2832,2837) = 8034384

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 2837

List of positive integer factors of 2837 that divides 2837 without a remainder.

1, 2837

Least Common Multiple of 2832 and 2837 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 2837, than apply into the LCM equation.

GCF(2832,2837) = 1
LCM(2832,2837) = ( 2832 × 2837) / 1
LCM(2832,2837) = 8034384 / 1
LCM(2832,2837) = 8034384

Properties of LCM 2832 and 2837

(i) The LCM of 2837 and 2832 is associative

LCM of 2832 and 2837 = LCM of 2837 and 2832

Related Least Common Multiples of 2832

Related Least Common Multiples of 2837

Frequently Asked Questions on LCM of 2832 and 2837

1. What is the LCM of 2832 and 2837?

Answer: LCM of 2832 and 2837 is 8034384.

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 2837?

Answer: Factors of 2837 are 1, 2837. There are 2 integers that are factors of 2837. The greatest factor of 2837 is 2837.

4. How to Find the LCM of 2832 and 2837?

Answer:

Least Common Multiple of 2832 and 2837 = 8034384

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 2837

2837 = 2837

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

LCM = 8034384 = 2 x 2 x 2 x 2 x 3 x 59 x 2837

Step 4: Therefore, the least common multiple of 2832 and 2837 is 8034384.