Least Common Multiple of 831 and 838

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 838 the smallest integer that is 696378 that is divisible by both numbers.

Least Common Multiple (LCM) of 831 and 838 is 696378.

LCM(831,838) = 696378

LCM of 831 and 838

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

LCM of:
and

Least Common Multiple of 831 and 838

LCM of 831 and 838 is 696378

Least common multiple can be found by multiplying the highest exponent prime factors of 831 and 838. First we will calculate the prime factors of 831 and 838.

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 838


2 838
419 419
1

Prime factors of 838 are 2,419. Prime factorization of 838 in exponential form is:

838 = 21×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 831 and 838.

LCM(831,838) = 21×31×2771×4191
LCM(831,838) = 696378

Factors of 831

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

1, 3, 277, 831

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Least Common Multiple of 831 and 838 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 838, than apply into the LCM equation.

GCF(831,838) = 1
LCM(831,838) = ( 831 × 838) / 1
LCM(831,838) = 696378 / 1
LCM(831,838) = 696378

Properties of LCM 831 and 838

(i) The LCM of 838 and 831 is associative

LCM of 831 and 838 = LCM of 838 and 831

Related Least Common Multiples of 831

Related Least Common Multiples of 838

Frequently Asked Questions on LCM of 831 and 838

1. What is the LCM of 831 and 838?

Answer: LCM of 831 and 838 is 696378.

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 838?

Answer: Factors of 838 are 1, 2, 419, 838. There are 4 integers that are factors of 838. The greatest factor of 838 is 838.

4. How to Find the LCM of 831 and 838?

Answer:

Least Common Multiple of 831 and 838 = 696378

Step 1: Find the prime factorization of 831

831 = 3 x 277

Step 2: Find the prime factorization of 838

838 = 2 x 419

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

LCM = 696378 = 2 x 3 x 277 x 419

Step 4: Therefore, the least common multiple of 831 and 838 is 696378.