Least Common Multiple of 832 and 833

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 833 the smallest integer that is 693056 that is divisible by both numbers.

Least Common Multiple (LCM) of 832 and 833 is 693056.

LCM(832,833) = 693056

LCM of 832 and 833

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

LCM of:
and

Least Common Multiple of 832 and 833

LCM of 832 and 833 is 693056

Least common multiple can be found by multiplying the highest exponent prime factors of 832 and 833. First we will calculate the prime factors of 832 and 833.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 832 and 833.

LCM(832,833) = 26×72×131×171
LCM(832,833) = 693056

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 833

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

1, 7, 17, 49, 119, 833

Least Common Multiple of 832 and 833 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 833, than apply into the LCM equation.

GCF(832,833) = 1
LCM(832,833) = ( 832 × 833) / 1
LCM(832,833) = 693056 / 1
LCM(832,833) = 693056

Properties of LCM 832 and 833

(i) The LCM of 833 and 832 is associative

LCM of 832 and 833 = LCM of 833 and 832

Related Least Common Multiples of 832

Related Least Common Multiples of 833

Frequently Asked Questions on LCM of 832 and 833

1. What is the LCM of 832 and 833?

Answer: LCM of 832 and 833 is 693056.

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 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.

4. How to Find the LCM of 832 and 833?

Answer:

Least Common Multiple of 832 and 833 = 693056

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 833

833 = 7 x 7 x 17

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

LCM = 693056 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 832 and 833 is 693056.