Least Common Multiple of 836 and 837

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 837 the smallest integer that is 699732 that is divisible by both numbers.

Least Common Multiple (LCM) of 836 and 837 is 699732.

LCM(836,837) = 699732

LCM of 836 and 837

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

LCM of:
and

Least Common Multiple of 836 and 837

LCM of 836 and 837 is 699732

Least common multiple can be found by multiplying the highest exponent prime factors of 836 and 837. First we will calculate the prime factors of 836 and 837.

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 837


3 837
3 279
3 93
31 31
1

Prime factors of 837 are 3,31. Prime factorization of 837 in exponential form is:

837 = 33×311

Now multiplying the highest exponent prime factors to calculate the LCM of 836 and 837.

LCM(836,837) = 22×33×111×191×311
LCM(836,837) = 699732

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 837

List of positive integer factors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Least Common Multiple of 836 and 837 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 837, than apply into the LCM equation.

GCF(836,837) = 1
LCM(836,837) = ( 836 × 837) / 1
LCM(836,837) = 699732 / 1
LCM(836,837) = 699732

Properties of LCM 836 and 837

(i) The LCM of 837 and 836 is associative

LCM of 836 and 837 = LCM of 837 and 836

Related Least Common Multiples of 836

Related Least Common Multiples of 837

Frequently Asked Questions on LCM of 836 and 837

1. What is the LCM of 836 and 837?

Answer: LCM of 836 and 837 is 699732.

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 837?

Answer: Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837. There are 8 integers that are factors of 837. The greatest factor of 837 is 837.

4. How to Find the LCM of 836 and 837?

Answer:

Least Common Multiple of 836 and 837 = 699732

Step 1: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

Step 2: Find the prime factorization of 837

837 = 3 x 3 x 3 x 31

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

LCM = 699732 = 2 x 2 x 3 x 3 x 3 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 836 and 837 is 699732.