Least Common Multiple of 2831 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 2831 and 2837 the smallest integer that is 8031547 that is divisible by both numbers.

Least Common Multiple (LCM) of 2831 and 2837 is 8031547.

LCM(2831,2837) = 8031547

LCM of 2831 and 2837

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

LCM of:
and

Least Common Multiple of 2831 and 2837

LCM of 2831 and 2837 is 8031547

Least common multiple can be found by multiplying the highest exponent prime factors of 2831 and 2837. First we will calculate the prime factors of 2831 and 2837.

Prime Factorization of 2831


19 2831
149 149
1

Prime factors of 2831 are 19,149. Prime factorization of 2831 in exponential form is:

2831 = 191×1491

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 2831 and 2837.

LCM(2831,2837) = 191×1491×28371
LCM(2831,2837) = 8031547

Factors of 2831

List of positive integer factors of 2831 that divides 2831 without a remainder.

1, 19, 149, 2831

Factors of 2837

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

1, 2837

Least Common Multiple of 2831 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 2831 and 2837, than apply into the LCM equation.

GCF(2831,2837) = 1
LCM(2831,2837) = ( 2831 × 2837) / 1
LCM(2831,2837) = 8031547 / 1
LCM(2831,2837) = 8031547

Properties of LCM 2831 and 2837

(i) The LCM of 2837 and 2831 is associative

LCM of 2831 and 2837 = LCM of 2837 and 2831

Related Least Common Multiples of 2831

Related Least Common Multiples of 2837

Frequently Asked Questions on LCM of 2831 and 2837

1. What is the LCM of 2831 and 2837?

Answer: LCM of 2831 and 2837 is 8031547.

2. What are the Factors of 2831?

Answer: Factors of 2831 are 1, 19, 149, 2831. There are 4 integers that are factors of 2831. The greatest factor of 2831 is 2831.

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 2831 and 2837?

Answer:

Least Common Multiple of 2831 and 2837 = 8031547

Step 1: Find the prime factorization of 2831

2831 = 19 x 149

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 = 8031547 = 19 x 149 x 2837

Step 4: Therefore, the least common multiple of 2831 and 2837 is 8031547.