Least Common Multiple of 822 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 822 and 829 the smallest integer that is 681438 that is divisible by both numbers.

Least Common Multiple (LCM) of 822 and 829 is 681438.

LCM(822,829) = 681438

LCM of 822 and 829

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

LCM of:
and

Least Common Multiple of 822 and 829

LCM of 822 and 829 is 681438

Least common multiple can be found by multiplying the highest exponent prime factors of 822 and 829. First we will calculate the prime factors of 822 and 829.

Prime Factorization of 822


2 822
3 411
137 137
1

Prime factors of 822 are 2, 3,137. Prime factorization of 822 in exponential form is:

822 = 21×31×1371

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 822 and 829.

LCM(822,829) = 21×31×1371×8291
LCM(822,829) = 681438

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Factors of 829

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

1, 829

Least Common Multiple of 822 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 822 and 829, than apply into the LCM equation.

GCF(822,829) = 1
LCM(822,829) = ( 822 × 829) / 1
LCM(822,829) = 681438 / 1
LCM(822,829) = 681438

Properties of LCM 822 and 829

(i) The LCM of 829 and 822 is associative

LCM of 822 and 829 = LCM of 829 and 822

Related Least Common Multiples of 822

Related Least Common Multiples of 829

Frequently Asked Questions on LCM of 822 and 829

1. What is the LCM of 822 and 829?

Answer: LCM of 822 and 829 is 681438.

2. What are the Factors of 822?

Answer: Factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822. There are 8 integers that are factors of 822. The greatest factor of 822 is 822.

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 822 and 829?

Answer:

Least Common Multiple of 822 and 829 = 681438

Step 1: Find the prime factorization of 822

822 = 2 x 3 x 137

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 = 681438 = 2 x 3 x 137 x 829

Step 4: Therefore, the least common multiple of 822 and 829 is 681438.