Least Common Multiple of 7826 and 7834

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 7834 the smallest integer that is 30654442 that is divisible by both numbers.

Least Common Multiple (LCM) of 7826 and 7834 is 30654442.

LCM(7826,7834) = 30654442

LCM of 7826 and 7834

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

LCM of:
and

Least Common Multiple of 7826 and 7834

LCM of 7826 and 7834 is 30654442

Least common multiple can be found by multiplying the highest exponent prime factors of 7826 and 7834. First we will calculate the prime factors of 7826 and 7834.

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 7834


2 7834
3917 3917
1

Prime factors of 7834 are 2,3917. Prime factorization of 7834 in exponential form is:

7834 = 21×39171

Now multiplying the highest exponent prime factors to calculate the LCM of 7826 and 7834.

LCM(7826,7834) = 21×71×131×431×39171
LCM(7826,7834) = 30654442

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 7834

List of positive integer factors of 7834 that divides 7834 without a remainder.

1, 2, 3917, 7834

Least Common Multiple of 7826 and 7834 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 7834, than apply into the LCM equation.

GCF(7826,7834) = 2
LCM(7826,7834) = ( 7826 × 7834) / 2
LCM(7826,7834) = 61308884 / 2
LCM(7826,7834) = 30654442

Properties of LCM 7826 and 7834

(i) The LCM of 7834 and 7826 is associative

LCM of 7826 and 7834 = LCM of 7834 and 7826

Related Least Common Multiples of 7826

Related Least Common Multiples of 7834

Frequently Asked Questions on LCM of 7826 and 7834

1. What is the LCM of 7826 and 7834?

Answer: LCM of 7826 and 7834 is 30654442.

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 7834?

Answer: Factors of 7834 are 1, 2, 3917, 7834. There are 4 integers that are factors of 7834. The greatest factor of 7834 is 7834.

4. How to Find the LCM of 7826 and 7834?

Answer:

Least Common Multiple of 7826 and 7834 = 30654442

Step 1: Find the prime factorization of 7826

7826 = 2 x 7 x 13 x 43

Step 2: Find the prime factorization of 7834

7834 = 2 x 3917

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

LCM = 30654442 = 2 x 7 x 13 x 43 x 3917

Step 4: Therefore, the least common multiple of 7826 and 7834 is 30654442.