Least Common Multiple of 828 and 831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 828 and 831 the smallest integer that is 229356 that is divisible by both numbers.

Least Common Multiple (LCM) of 828 and 831 is 229356.

LCM(828,831) = 229356

LCM of 828 and 831

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

LCM of:
and

Least Common Multiple of 828 and 831

LCM of 828 and 831 is 229356

Least common multiple can be found by multiplying the highest exponent prime factors of 828 and 831. First we will calculate the prime factors of 828 and 831.

Prime Factorization of 828


2 828
2 414
3 207
3 69
23 23
1

Prime factors of 828 are 2, 3,23. Prime factorization of 828 in exponential form is:

828 = 22×32×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 828 and 831.

LCM(828,831) = 22×32×231×2771
LCM(828,831) = 229356

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Factors of 831

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

1, 3, 277, 831

Least Common Multiple of 828 and 831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 828 and 831, than apply into the LCM equation.

GCF(828,831) = 3
LCM(828,831) = ( 828 × 831) / 3
LCM(828,831) = 688068 / 3
LCM(828,831) = 229356

Properties of LCM 828 and 831

(i) The LCM of 831 and 828 is associative

LCM of 828 and 831 = LCM of 831 and 828

Related Least Common Multiples of 828

Related Least Common Multiples of 831

Frequently Asked Questions on LCM of 828 and 831

1. What is the LCM of 828 and 831?

Answer: LCM of 828 and 831 is 229356.

2. What are the Factors of 828?

Answer: Factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. There are 18 integers that are factors of 828. The greatest factor of 828 is 828.

3. 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.

4. How to Find the LCM of 828 and 831?

Answer:

Least Common Multiple of 828 and 831 = 229356

Step 1: Find the prime factorization of 828

828 = 2 x 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 831

831 = 3 x 277

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

LCM = 229356 = 2 x 2 x 3 x 3 x 23 x 277

Step 4: Therefore, the least common multiple of 828 and 831 is 229356.