Least Common Multiple of 826 and 832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 826 and 832 the smallest integer that is 343616 that is divisible by both numbers.

Least Common Multiple (LCM) of 826 and 832 is 343616.

LCM(826,832) = 343616

LCM of 826 and 832

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

LCM of:
and

Least Common Multiple of 826 and 832

LCM of 826 and 832 is 343616

Least common multiple can be found by multiplying the highest exponent prime factors of 826 and 832. First we will calculate the prime factors of 826 and 832.

Prime Factorization of 826


2 826
7 413
59 59
1

Prime factors of 826 are 2, 7,59. Prime factorization of 826 in exponential form is:

826 = 21×71×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 826 and 832.

LCM(826,832) = 26×71×131×591
LCM(826,832) = 343616

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

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

Least Common Multiple of 826 and 832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 826 and 832, than apply into the LCM equation.

GCF(826,832) = 2
LCM(826,832) = ( 826 × 832) / 2
LCM(826,832) = 687232 / 2
LCM(826,832) = 343616

Properties of LCM 826 and 832

(i) The LCM of 832 and 826 is associative

LCM of 826 and 832 = LCM of 832 and 826

Related Least Common Multiples of 826

Related Least Common Multiples of 832

Frequently Asked Questions on LCM of 826 and 832

1. What is the LCM of 826 and 832?

Answer: LCM of 826 and 832 is 343616.

2. What are the Factors of 826?

Answer: Factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826. There are 8 integers that are factors of 826. The greatest factor of 826 is 826.

3. 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.

4. How to Find the LCM of 826 and 832?

Answer:

Least Common Multiple of 826 and 832 = 343616

Step 1: Find the prime factorization of 826

826 = 2 x 7 x 59

Step 2: Find the prime factorization of 832

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

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

LCM = 343616 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13 x 59

Step 4: Therefore, the least common multiple of 826 and 832 is 343616.