Least Common Multiple of 7826 and 7830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7826 and 7830 the smallest integer that is 30638790 that is divisible by both numbers.

Least Common Multiple (LCM) of 7826 and 7830 is 30638790.

LCM(7826,7830) = 30638790

LCM of 7826 and 7830

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

LCM of:
and

Least Common Multiple of 7826 and 7830

LCM of 7826 and 7830 is 30638790

Least common multiple can be found by multiplying the highest exponent prime factors of 7826 and 7830. First we will calculate the prime factors of 7826 and 7830.

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

Prime Factorization of 7830


2 7830
3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 7830 are 2, 3, 5,29. Prime factorization of 7830 in exponential form is:

7830 = 21×33×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7826 and 7830.

LCM(7826,7830) = 21×33×51×71×131×291×431
LCM(7826,7830) = 30638790

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

Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830

Least Common Multiple of 7826 and 7830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7826 and 7830, than apply into the LCM equation.

GCF(7826,7830) = 2
LCM(7826,7830) = ( 7826 × 7830) / 2
LCM(7826,7830) = 61277580 / 2
LCM(7826,7830) = 30638790

Properties of LCM 7826 and 7830

(i) The LCM of 7830 and 7826 is associative

LCM of 7826 and 7830 = LCM of 7830 and 7826

Related Least Common Multiples of 7826

Related Least Common Multiples of 7830

Frequently Asked Questions on LCM of 7826 and 7830

1. What is the LCM of 7826 and 7830?

Answer: LCM of 7826 and 7830 is 30638790.

2. 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.

3. What are the Factors of 7830?

Answer: Factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830. There are 32 integers that are factors of 7830. The greatest factor of 7830 is 7830.

4. How to Find the LCM of 7826 and 7830?

Answer:

Least Common Multiple of 7826 and 7830 = 30638790

Step 1: Find the prime factorization of 7826

7826 = 2 x 7 x 13 x 43

Step 2: Find the prime factorization of 7830

7830 = 2 x 3 x 3 x 3 x 5 x 29

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

LCM = 30638790 = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 29 x 43

Step 4: Therefore, the least common multiple of 7826 and 7830 is 30638790.