Least Common Multiple of 826 and 828

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 828 the smallest integer that is 341964 that is divisible by both numbers.

Least Common Multiple (LCM) of 826 and 828 is 341964.

LCM(826,828) = 341964

LCM of 826 and 828

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

LCM of:
and

Least Common Multiple of 826 and 828

LCM of 826 and 828 is 341964

Least common multiple can be found by multiplying the highest exponent prime factors of 826 and 828. First we will calculate the prime factors of 826 and 828.

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 828


2 828
2 414
3 207
3 69
23 23
1

Prime factors of 828 are 2, 3,23. Prime factorization of 828 in exponential form is:

828 = 22×32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 826 and 828.

LCM(826,828) = 22×32×71×231×591
LCM(826,828) = 341964

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 828

List of positive integer factors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Least Common Multiple of 826 and 828 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 828, than apply into the LCM equation.

GCF(826,828) = 2
LCM(826,828) = ( 826 × 828) / 2
LCM(826,828) = 683928 / 2
LCM(826,828) = 341964

Properties of LCM 826 and 828

(i) The LCM of 828 and 826 is associative

LCM of 826 and 828 = LCM of 828 and 826

Related Least Common Multiples of 826

Related Least Common Multiples of 828

Frequently Asked Questions on LCM of 826 and 828

1. What is the LCM of 826 and 828?

Answer: LCM of 826 and 828 is 341964.

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 828?

Answer: Factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. There are 18 integers that are factors of 828. The greatest factor of 828 is 828.

4. How to Find the LCM of 826 and 828?

Answer:

Least Common Multiple of 826 and 828 = 341964

Step 1: Find the prime factorization of 826

826 = 2 x 7 x 59

Step 2: Find the prime factorization of 828

828 = 2 x 2 x 3 x 3 x 23

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

LCM = 341964 = 2 x 2 x 3 x 3 x 7 x 23 x 59

Step 4: Therefore, the least common multiple of 826 and 828 is 341964.