Least Common Multiple of 836 and 838

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 838 the smallest integer that is 350284 that is divisible by both numbers.

Least Common Multiple (LCM) of 836 and 838 is 350284.

LCM(836,838) = 350284

LCM of 836 and 838

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

LCM of:
and

Least Common Multiple of 836 and 838

LCM of 836 and 838 is 350284

Least common multiple can be found by multiplying the highest exponent prime factors of 836 and 838. First we will calculate the prime factors of 836 and 838.

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 838


2 838
419 419
1

Prime factors of 838 are 2,419. Prime factorization of 838 in exponential form is:

838 = 21×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 836 and 838.

LCM(836,838) = 22×111×191×4191
LCM(836,838) = 350284

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 838

List of positive integer factors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Least Common Multiple of 836 and 838 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 838, than apply into the LCM equation.

GCF(836,838) = 2
LCM(836,838) = ( 836 × 838) / 2
LCM(836,838) = 700568 / 2
LCM(836,838) = 350284

Properties of LCM 836 and 838

(i) The LCM of 838 and 836 is associative

LCM of 836 and 838 = LCM of 838 and 836

Related Least Common Multiples of 836

Related Least Common Multiples of 838

Frequently Asked Questions on LCM of 836 and 838

1. What is the LCM of 836 and 838?

Answer: LCM of 836 and 838 is 350284.

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 838?

Answer: Factors of 838 are 1, 2, 419, 838. There are 4 integers that are factors of 838. The greatest factor of 838 is 838.

4. How to Find the LCM of 836 and 838?

Answer:

Least Common Multiple of 836 and 838 = 350284

Step 1: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

Step 2: Find the prime factorization of 838

838 = 2 x 419

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

LCM = 350284 = 2 x 2 x 11 x 19 x 419

Step 4: Therefore, the least common multiple of 836 and 838 is 350284.