Least Common Multiple of 836 and 839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 836 and 839 the smallest integer that is 701404 that is divisible by both numbers.

Least Common Multiple (LCM) of 836 and 839 is 701404.

LCM(836,839) = 701404

LCM of 836 and 839

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

LCM of:
and

Least Common Multiple of 836 and 839

LCM of 836 and 839 is 701404

Least common multiple can be found by multiplying the highest exponent prime factors of 836 and 839. First we will calculate the prime factors of 836 and 839.

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

Prime Factorization of 839


839 839
1

Prime factors of 839 are 839. Prime factorization of 839 in exponential form is:

839 = 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 836 and 839.

LCM(836,839) = 22×111×191×8391
LCM(836,839) = 701404

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

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1, 839

Least Common Multiple of 836 and 839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 836 and 839, than apply into the LCM equation.

GCF(836,839) = 1
LCM(836,839) = ( 836 × 839) / 1
LCM(836,839) = 701404 / 1
LCM(836,839) = 701404

Properties of LCM 836 and 839

(i) The LCM of 839 and 836 is associative

LCM of 836 and 839 = LCM of 839 and 836

Related Least Common Multiples of 836

Related Least Common Multiples of 839

Frequently Asked Questions on LCM of 836 and 839

1. What is the LCM of 836 and 839?

Answer: LCM of 836 and 839 is 701404.

2. 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.

3. What are the Factors of 839?

Answer: Factors of 839 are 1, 839. There are 2 integers that are factors of 839. The greatest factor of 839 is 839.

4. How to Find the LCM of 836 and 839?

Answer:

Least Common Multiple of 836 and 839 = 701404

Step 1: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

Step 2: Find the prime factorization of 839

839 = 839

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

LCM = 701404 = 2 x 2 x 11 x 19 x 839

Step 4: Therefore, the least common multiple of 836 and 839 is 701404.