Least Common Multiple of 826 and 830

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 830 the smallest integer that is 342790 that is divisible by both numbers.

Least Common Multiple (LCM) of 826 and 830 is 342790.

LCM(826,830) = 342790

LCM of 826 and 830

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

LCM of:
and

Least Common Multiple of 826 and 830

LCM of 826 and 830 is 342790

Least common multiple can be found by multiplying the highest exponent prime factors of 826 and 830. First we will calculate the prime factors of 826 and 830.

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 830


2 830
5 415
83 83
1

Prime factors of 830 are 2, 5,83. Prime factorization of 830 in exponential form is:

830 = 21×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 826 and 830.

LCM(826,830) = 21×51×71×591×831
LCM(826,830) = 342790

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 830

List of positive integer factors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Least Common Multiple of 826 and 830 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 830, than apply into the LCM equation.

GCF(826,830) = 2
LCM(826,830) = ( 826 × 830) / 2
LCM(826,830) = 685580 / 2
LCM(826,830) = 342790

Properties of LCM 826 and 830

(i) The LCM of 830 and 826 is associative

LCM of 826 and 830 = LCM of 830 and 826

Related Least Common Multiples of 826

Related Least Common Multiples of 830

Frequently Asked Questions on LCM of 826 and 830

1. What is the LCM of 826 and 830?

Answer: LCM of 826 and 830 is 342790.

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 830?

Answer: Factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830. There are 8 integers that are factors of 830. The greatest factor of 830 is 830.

4. How to Find the LCM of 826 and 830?

Answer:

Least Common Multiple of 826 and 830 = 342790

Step 1: Find the prime factorization of 826

826 = 2 x 7 x 59

Step 2: Find the prime factorization of 830

830 = 2 x 5 x 83

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

LCM = 342790 = 2 x 5 x 7 x 59 x 83

Step 4: Therefore, the least common multiple of 826 and 830 is 342790.