Least Common Multiple of 829 and 836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 829 and 836 the smallest integer that is 693044 that is divisible by both numbers.

Least Common Multiple (LCM) of 829 and 836 is 693044.

LCM(829,836) = 693044

LCM of 829 and 836

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

LCM of:
and

Least Common Multiple of 829 and 836

LCM of 829 and 836 is 693044

Least common multiple can be found by multiplying the highest exponent prime factors of 829 and 836. First we will calculate the prime factors of 829 and 836.

Prime Factorization of 829


829 829
1

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

829 = 8291

Prime Factorization of 836


2 836
2 418
11 209
19 19
1

Prime factors of 836 are 2, 11,19. Prime factorization of 836 in exponential form is:

836 = 22×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 829 and 836.

LCM(829,836) = 22×111×191×8291
LCM(829,836) = 693044

Factors of 829

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

1, 829

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Least Common Multiple of 829 and 836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 829 and 836, than apply into the LCM equation.

GCF(829,836) = 1
LCM(829,836) = ( 829 × 836) / 1
LCM(829,836) = 693044 / 1
LCM(829,836) = 693044

Properties of LCM 829 and 836

(i) The LCM of 836 and 829 is associative

LCM of 829 and 836 = LCM of 836 and 829

Related Least Common Multiples of 829

Related Least Common Multiples of 836

Frequently Asked Questions on LCM of 829 and 836

1. What is the LCM of 829 and 836?

Answer: LCM of 829 and 836 is 693044.

2. 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.

3. What are the Factors of 836?

Answer: Factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836. There are 12 integers that are factors of 836. The greatest factor of 836 is 836.

4. How to Find the LCM of 829 and 836?

Answer:

Least Common Multiple of 829 and 836 = 693044

Step 1: Find the prime factorization of 829

829 = 829

Step 2: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

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

LCM = 693044 = 2 x 2 x 11 x 19 x 829

Step 4: Therefore, the least common multiple of 829 and 836 is 693044.