Least Common Multiple of 824 and 826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 824 and 826 the smallest integer that is 340312 that is divisible by both numbers.

Least Common Multiple (LCM) of 824 and 826 is 340312.

LCM(824,826) = 340312

LCM of 824 and 826

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

LCM of:
and

Least Common Multiple of 824 and 826

LCM of 824 and 826 is 340312

Least common multiple can be found by multiplying the highest exponent prime factors of 824 and 826. First we will calculate the prime factors of 824 and 826.

Prime Factorization of 824


2 824
2 412
2 206
103 103
1

Prime factors of 824 are 2,103. Prime factorization of 824 in exponential form is:

824 = 23×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 824 and 826.

LCM(824,826) = 23×71×591×1031
LCM(824,826) = 340312

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Factors of 826

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

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

Least Common Multiple of 824 and 826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 824 and 826, than apply into the LCM equation.

GCF(824,826) = 2
LCM(824,826) = ( 824 × 826) / 2
LCM(824,826) = 680624 / 2
LCM(824,826) = 340312

Properties of LCM 824 and 826

(i) The LCM of 826 and 824 is associative

LCM of 824 and 826 = LCM of 826 and 824

Related Least Common Multiples of 824

Related Least Common Multiples of 826

Frequently Asked Questions on LCM of 824 and 826

1. What is the LCM of 824 and 826?

Answer: LCM of 824 and 826 is 340312.

2. What are the Factors of 824?

Answer: Factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824. There are 8 integers that are factors of 824. The greatest factor of 824 is 824.

3. 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.

4. How to Find the LCM of 824 and 826?

Answer:

Least Common Multiple of 824 and 826 = 340312

Step 1: Find the prime factorization of 824

824 = 2 x 2 x 2 x 103

Step 2: Find the prime factorization of 826

826 = 2 x 7 x 59

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

LCM = 340312 = 2 x 2 x 2 x 7 x 59 x 103

Step 4: Therefore, the least common multiple of 824 and 826 is 340312.