Least Common Multiple of 832 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 832 and 837 the smallest integer that is 696384 that is divisible by both numbers.

Least Common Multiple (LCM) of 832 and 837 is 696384.

LCM(832,837) = 696384

LCM of 832 and 837

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

LCM of:
and

Least Common Multiple of 832 and 837

LCM of 832 and 837 is 696384

Least common multiple can be found by multiplying the highest exponent prime factors of 832 and 837. First we will calculate the prime factors of 832 and 837.

Prime Factorization of 832


2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 832 are 2,13. Prime factorization of 832 in exponential form is:

832 = 26×131

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 832 and 837.

LCM(832,837) = 26×33×131×311
LCM(832,837) = 696384

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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 832 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 832 and 837, than apply into the LCM equation.

GCF(832,837) = 1
LCM(832,837) = ( 832 × 837) / 1
LCM(832,837) = 696384 / 1
LCM(832,837) = 696384

Properties of LCM 832 and 837

(i) The LCM of 837 and 832 is associative

LCM of 832 and 837 = LCM of 837 and 832

Related Least Common Multiples of 832

Related Least Common Multiples of 837

Frequently Asked Questions on LCM of 832 and 837

1. What is the LCM of 832 and 837?

Answer: LCM of 832 and 837 is 696384.

2. What are the Factors of 832?

Answer: Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. There are 14 integers that are factors of 832. The greatest factor of 832 is 832.

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 832 and 837?

Answer:

Least Common Multiple of 832 and 837 = 696384

Step 1: Find the prime factorization of 832

832 = 2 x 2 x 2 x 2 x 2 x 2 x 13

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 = 696384 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 31

Step 4: Therefore, the least common multiple of 832 and 837 is 696384.