Least Common Multiple of 833 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 833 and 836 the smallest integer that is 696388 that is divisible by both numbers.

Least Common Multiple (LCM) of 833 and 836 is 696388.

LCM(833,836) = 696388

LCM of 833 and 836

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

LCM of:
and

Least Common Multiple of 833 and 836

LCM of 833 and 836 is 696388

Least common multiple can be found by multiplying the highest exponent prime factors of 833 and 836. First we will calculate the prime factors of 833 and 836.

Prime Factorization of 833


7 833
7 119
17 17
1

Prime factors of 833 are 7,17. Prime factorization of 833 in exponential form is:

833 = 72×171

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 833 and 836.

LCM(833,836) = 22×72×111×171×191
LCM(833,836) = 696388

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

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 833 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 833 and 836, than apply into the LCM equation.

GCF(833,836) = 1
LCM(833,836) = ( 833 × 836) / 1
LCM(833,836) = 696388 / 1
LCM(833,836) = 696388

Properties of LCM 833 and 836

(i) The LCM of 836 and 833 is associative

LCM of 833 and 836 = LCM of 836 and 833

Related Least Common Multiples of 833

Related Least Common Multiples of 836

Frequently Asked Questions on LCM of 833 and 836

1. What is the LCM of 833 and 836?

Answer: LCM of 833 and 836 is 696388.

2. What are the Factors of 833?

Answer: Factors of 833 are 1, 7, 17, 49, 119, 833. There are 6 integers that are factors of 833. The greatest factor of 833 is 833.

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 833 and 836?

Answer:

Least Common Multiple of 833 and 836 = 696388

Step 1: Find the prime factorization of 833

833 = 7 x 7 x 17

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 = 696388 = 2 x 2 x 7 x 7 x 11 x 17 x 19

Step 4: Therefore, the least common multiple of 833 and 836 is 696388.