Least Common Multiple of 823 and 829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 823 and 829 the smallest integer that is 682267 that is divisible by both numbers.

Least Common Multiple (LCM) of 823 and 829 is 682267.

LCM(823,829) = 682267

LCM of 823 and 829

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

LCM of:
and

Least Common Multiple of 823 and 829

LCM of 823 and 829 is 682267

Least common multiple can be found by multiplying the highest exponent prime factors of 823 and 829. First we will calculate the prime factors of 823 and 829.

Prime Factorization of 823


823 823
1

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 8231

Prime Factorization of 829


829 829
1

Prime factors of 829 are 829. Prime factorization of 829 in exponential form is:

829 = 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 823 and 829.

LCM(823,829) = 8231×8291
LCM(823,829) = 682267

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1, 823

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1, 829

Least Common Multiple of 823 and 829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 823 and 829, than apply into the LCM equation.

GCF(823,829) = 1
LCM(823,829) = ( 823 × 829) / 1
LCM(823,829) = 682267 / 1
LCM(823,829) = 682267

Properties of LCM 823 and 829

(i) The LCM of 829 and 823 is associative

LCM of 823 and 829 = LCM of 829 and 823

Related Least Common Multiples of 823

Related Least Common Multiples of 829

Frequently Asked Questions on LCM of 823 and 829

1. What is the LCM of 823 and 829?

Answer: LCM of 823 and 829 is 682267.

2. What are the Factors of 823?

Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.

3. What are the Factors of 829?

Answer: Factors of 829 are 1, 829. There are 2 integers that are factors of 829. The greatest factor of 829 is 829.

4. How to Find the LCM of 823 and 829?

Answer:

Least Common Multiple of 823 and 829 = 682267

Step 1: Find the prime factorization of 823

823 = 823

Step 2: Find the prime factorization of 829

829 = 829

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

LCM = 682267 = 823 x 829

Step 4: Therefore, the least common multiple of 823 and 829 is 682267.