Least Common Multiple of 831 and 837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 831 and 837 the smallest integer that is 231849 that is divisible by both numbers.

Least Common Multiple (LCM) of 831 and 837 is 231849.

LCM(831,837) = 231849

LCM of 831 and 837

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

LCM of:
and

Least Common Multiple of 831 and 837

LCM of 831 and 837 is 231849

Least common multiple can be found by multiplying the highest exponent prime factors of 831 and 837. First we will calculate the prime factors of 831 and 837.

Prime Factorization of 831


3 831
277 277
1

Prime factors of 831 are 3,277. Prime factorization of 831 in exponential form is:

831 = 31×2771

Prime Factorization of 837


3 837
3 279
3 93
31 31
1

Prime factors of 837 are 3,31. Prime factorization of 837 in exponential form is:

837 = 33×311

Now multiplying the highest exponent prime factors to calculate the LCM of 831 and 837.

LCM(831,837) = 33×311×2771
LCM(831,837) = 231849

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Least Common Multiple of 831 and 837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 831 and 837, than apply into the LCM equation.

GCF(831,837) = 3
LCM(831,837) = ( 831 × 837) / 3
LCM(831,837) = 695547 / 3
LCM(831,837) = 231849

Properties of LCM 831 and 837

(i) The LCM of 837 and 831 is associative

LCM of 831 and 837 = LCM of 837 and 831

Related Least Common Multiples of 831

Related Least Common Multiples of 837

Frequently Asked Questions on LCM of 831 and 837

1. What is the LCM of 831 and 837?

Answer: LCM of 831 and 837 is 231849.

2. What are the Factors of 831?

Answer: Factors of 831 are 1, 3, 277, 831. There are 4 integers that are factors of 831. The greatest factor of 831 is 831.

3. What are the Factors of 837?

Answer: Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837. There are 8 integers that are factors of 837. The greatest factor of 837 is 837.

4. How to Find the LCM of 831 and 837?

Answer:

Least Common Multiple of 831 and 837 = 231849

Step 1: Find the prime factorization of 831

831 = 3 x 277

Step 2: Find the prime factorization of 837

837 = 3 x 3 x 3 x 31

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

LCM = 231849 = 3 x 3 x 3 x 31 x 277

Step 4: Therefore, the least common multiple of 831 and 837 is 231849.