Least Common Multiple of 7820 and 7826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7820 and 7826 the smallest integer that is 30599660 that is divisible by both numbers.

Least Common Multiple (LCM) of 7820 and 7826 is 30599660.

LCM(7820,7826) = 30599660

LCM of 7820 and 7826

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

LCM of:
and

Least Common Multiple of 7820 and 7826

LCM of 7820 and 7826 is 30599660

Least common multiple can be found by multiplying the highest exponent prime factors of 7820 and 7826. First we will calculate the prime factors of 7820 and 7826.

Prime Factorization of 7820


2 7820
2 3910
5 1955
17 391
23 23
1

Prime factors of 7820 are 2, 5, 17,23. Prime factorization of 7820 in exponential form is:

7820 = 22×51×171×231

Prime Factorization of 7826


2 7826
7 3913
13 559
43 43
1

Prime factors of 7826 are 2, 7, 13,43. Prime factorization of 7826 in exponential form is:

7826 = 21×71×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7820 and 7826.

LCM(7820,7826) = 22×51×71×131×171×231×431
LCM(7820,7826) = 30599660

Factors of 7820

List of positive integer factors of 7820 that divides 7820 without a remainder.

1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820

Factors of 7826

List of positive integer factors of 7826 that divides 7826 without a remainder.

1, 2, 7, 13, 14, 26, 43, 86, 91, 182, 301, 559, 602, 1118, 3913, 7826

Least Common Multiple of 7820 and 7826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7820 and 7826, than apply into the LCM equation.

GCF(7820,7826) = 2
LCM(7820,7826) = ( 7820 × 7826) / 2
LCM(7820,7826) = 61199320 / 2
LCM(7820,7826) = 30599660

Properties of LCM 7820 and 7826

(i) The LCM of 7826 and 7820 is associative

LCM of 7820 and 7826 = LCM of 7826 and 7820

Related Least Common Multiples of 7820

Related Least Common Multiples of 7826

Frequently Asked Questions on LCM of 7820 and 7826

1. What is the LCM of 7820 and 7826?

Answer: LCM of 7820 and 7826 is 30599660.

2. What are the Factors of 7820?

Answer: Factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820. There are 24 integers that are factors of 7820. The greatest factor of 7820 is 7820.

3. What are the Factors of 7826?

Answer: Factors of 7826 are 1, 2, 7, 13, 14, 26, 43, 86, 91, 182, 301, 559, 602, 1118, 3913, 7826. There are 16 integers that are factors of 7826. The greatest factor of 7826 is 7826.

4. How to Find the LCM of 7820 and 7826?

Answer:

Least Common Multiple of 7820 and 7826 = 30599660

Step 1: Find the prime factorization of 7820

7820 = 2 x 2 x 5 x 17 x 23

Step 2: Find the prime factorization of 7826

7826 = 2 x 7 x 13 x 43

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

LCM = 30599660 = 2 x 2 x 5 x 7 x 13 x 17 x 23 x 43

Step 4: Therefore, the least common multiple of 7820 and 7826 is 30599660.