Least Common Multiple of 832 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 832 and 839 the smallest integer that is 698048 that is divisible by both numbers.

Least Common Multiple (LCM) of 832 and 839 is 698048.

LCM(832,839) = 698048

LCM of 832 and 839

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

LCM of:
and

Least Common Multiple of 832 and 839

LCM of 832 and 839 is 698048

Least common multiple can be found by multiplying the highest exponent prime factors of 832 and 839. First we will calculate the prime factors of 832 and 839.

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 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 832 and 839.

LCM(832,839) = 26×131×8391
LCM(832,839) = 698048

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 839

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

1, 839

Least Common Multiple of 832 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 832 and 839, than apply into the LCM equation.

GCF(832,839) = 1
LCM(832,839) = ( 832 × 839) / 1
LCM(832,839) = 698048 / 1
LCM(832,839) = 698048

Properties of LCM 832 and 839

(i) The LCM of 839 and 832 is associative

LCM of 832 and 839 = LCM of 839 and 832

Related Least Common Multiples of 832

Related Least Common Multiples of 839

Frequently Asked Questions on LCM of 832 and 839

1. What is the LCM of 832 and 839?

Answer: LCM of 832 and 839 is 698048.

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 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 832 and 839?

Answer:

Least Common Multiple of 832 and 839 = 698048

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 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 = 698048 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 839

Step 4: Therefore, the least common multiple of 832 and 839 is 698048.