Least Common Multiple of 827 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 827 and 831 the smallest integer that is 687237 that is divisible by both numbers.

Least Common Multiple (LCM) of 827 and 831 is 687237.

LCM(827,831) = 687237

LCM of 827 and 831

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

LCM of:
and

Least Common Multiple of 827 and 831

LCM of 827 and 831 is 687237

Least common multiple can be found by multiplying the highest exponent prime factors of 827 and 831. First we will calculate the prime factors of 827 and 831.

Prime Factorization of 827


827 827
1

Prime factors of 827 are 827. Prime factorization of 827 in exponential form is:

827 = 8271

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 827 and 831.

LCM(827,831) = 31×2771×8271
LCM(827,831) = 687237

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1, 827

Factors of 831

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

1, 3, 277, 831

Least Common Multiple of 827 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 827 and 831, than apply into the LCM equation.

GCF(827,831) = 1
LCM(827,831) = ( 827 × 831) / 1
LCM(827,831) = 687237 / 1
LCM(827,831) = 687237

Properties of LCM 827 and 831

(i) The LCM of 831 and 827 is associative

LCM of 827 and 831 = LCM of 831 and 827

Related Least Common Multiples of 827

Related Least Common Multiples of 831

Frequently Asked Questions on LCM of 827 and 831

1. What is the LCM of 827 and 831?

Answer: LCM of 827 and 831 is 687237.

2. What are the Factors of 827?

Answer: Factors of 827 are 1, 827. There are 2 integers that are factors of 827. The greatest factor of 827 is 827.

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 827 and 831?

Answer:

Least Common Multiple of 827 and 831 = 687237

Step 1: Find the prime factorization of 827

827 = 827

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 = 687237 = 3 x 277 x 827

Step 4: Therefore, the least common multiple of 827 and 831 is 687237.