Least Common Multiple of 826 and 834

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 834 the smallest integer that is 344442 that is divisible by both numbers.

Least Common Multiple (LCM) of 826 and 834 is 344442.

LCM(826,834) = 344442

LCM of 826 and 834

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

LCM of:
and

Least Common Multiple of 826 and 834

LCM of 826 and 834 is 344442

Least common multiple can be found by multiplying the highest exponent prime factors of 826 and 834. First we will calculate the prime factors of 826 and 834.

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 834


2 834
3 417
139 139
1

Prime factors of 834 are 2, 3,139. Prime factorization of 834 in exponential form is:

834 = 21×31×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 826 and 834.

LCM(826,834) = 21×31×71×591×1391
LCM(826,834) = 344442

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 834

List of positive integer factors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Least Common Multiple of 826 and 834 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 834, than apply into the LCM equation.

GCF(826,834) = 2
LCM(826,834) = ( 826 × 834) / 2
LCM(826,834) = 688884 / 2
LCM(826,834) = 344442

Properties of LCM 826 and 834

(i) The LCM of 834 and 826 is associative

LCM of 826 and 834 = LCM of 834 and 826

Related Least Common Multiples of 826

Related Least Common Multiples of 834

Frequently Asked Questions on LCM of 826 and 834

1. What is the LCM of 826 and 834?

Answer: LCM of 826 and 834 is 344442.

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 834?

Answer: Factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834. There are 8 integers that are factors of 834. The greatest factor of 834 is 834.

4. How to Find the LCM of 826 and 834?

Answer:

Least Common Multiple of 826 and 834 = 344442

Step 1: Find the prime factorization of 826

826 = 2 x 7 x 59

Step 2: Find the prime factorization of 834

834 = 2 x 3 x 139

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

LCM = 344442 = 2 x 3 x 7 x 59 x 139

Step 4: Therefore, the least common multiple of 826 and 834 is 344442.