Least Common Multiple of 831 and 833

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 833 the smallest integer that is 692223 that is divisible by both numbers.

Least Common Multiple (LCM) of 831 and 833 is 692223.

LCM(831,833) = 692223

LCM of 831 and 833

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

LCM of:
and

Least Common Multiple of 831 and 833

LCM of 831 and 833 is 692223

Least common multiple can be found by multiplying the highest exponent prime factors of 831 and 833. First we will calculate the prime factors of 831 and 833.

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 833


7 833
7 119
17 17
1

Prime factors of 833 are 7,17. Prime factorization of 833 in exponential form is:

833 = 72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 831 and 833.

LCM(831,833) = 31×72×171×2771
LCM(831,833) = 692223

Factors of 831

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

1, 3, 277, 831

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Least Common Multiple of 831 and 833 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 833, than apply into the LCM equation.

GCF(831,833) = 1
LCM(831,833) = ( 831 × 833) / 1
LCM(831,833) = 692223 / 1
LCM(831,833) = 692223

Properties of LCM 831 and 833

(i) The LCM of 833 and 831 is associative

LCM of 831 and 833 = LCM of 833 and 831

Related Least Common Multiples of 831

Related Least Common Multiples of 833

Frequently Asked Questions on LCM of 831 and 833

1. What is the LCM of 831 and 833?

Answer: LCM of 831 and 833 is 692223.

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 833?

Answer: Factors of 833 are 1, 7, 17, 49, 119, 833. There are 6 integers that are factors of 833. The greatest factor of 833 is 833.

4. How to Find the LCM of 831 and 833?

Answer:

Least Common Multiple of 831 and 833 = 692223

Step 1: Find the prime factorization of 831

831 = 3 x 277

Step 2: Find the prime factorization of 833

833 = 7 x 7 x 17

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

LCM = 692223 = 3 x 7 x 7 x 17 x 277

Step 4: Therefore, the least common multiple of 831 and 833 is 692223.