Least Common Multiple of 7790 and 7798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7790 and 7798 the smallest integer that is 30373210 that is divisible by both numbers.

Least Common Multiple (LCM) of 7790 and 7798 is 30373210.

LCM(7790,7798) = 30373210

LCM of 7790 and 7798

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

LCM of:
and

Least Common Multiple of 7790 and 7798

LCM of 7790 and 7798 is 30373210

Least common multiple can be found by multiplying the highest exponent prime factors of 7790 and 7798. First we will calculate the prime factors of 7790 and 7798.

Prime Factorization of 7790


2 7790
5 3895
19 779
41 41
1

Prime factors of 7790 are 2, 5, 19,41. Prime factorization of 7790 in exponential form is:

7790 = 21×51×191×411

Prime Factorization of 7798


2 7798
7 3899
557 557
1

Prime factors of 7798 are 2, 7,557. Prime factorization of 7798 in exponential form is:

7798 = 21×71×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 7790 and 7798.

LCM(7790,7798) = 21×51×71×191×411×5571
LCM(7790,7798) = 30373210

Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790

Factors of 7798

List of positive integer factors of 7798 that divides 7798 without a remainder.

1, 2, 7, 14, 557, 1114, 3899, 7798

Least Common Multiple of 7790 and 7798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7790 and 7798, than apply into the LCM equation.

GCF(7790,7798) = 2
LCM(7790,7798) = ( 7790 × 7798) / 2
LCM(7790,7798) = 60746420 / 2
LCM(7790,7798) = 30373210

Properties of LCM 7790 and 7798

(i) The LCM of 7798 and 7790 is associative

LCM of 7790 and 7798 = LCM of 7798 and 7790

Related Least Common Multiples of 7790

Related Least Common Multiples of 7798

Frequently Asked Questions on LCM of 7790 and 7798

1. What is the LCM of 7790 and 7798?

Answer: LCM of 7790 and 7798 is 30373210.

2. What are the Factors of 7790?

Answer: Factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790. There are 16 integers that are factors of 7790. The greatest factor of 7790 is 7790.

3. What are the Factors of 7798?

Answer: Factors of 7798 are 1, 2, 7, 14, 557, 1114, 3899, 7798. There are 8 integers that are factors of 7798. The greatest factor of 7798 is 7798.

4. How to Find the LCM of 7790 and 7798?

Answer:

Least Common Multiple of 7790 and 7798 = 30373210

Step 1: Find the prime factorization of 7790

7790 = 2 x 5 x 19 x 41

Step 2: Find the prime factorization of 7798

7798 = 2 x 7 x 557

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

LCM = 30373210 = 2 x 5 x 7 x 19 x 41 x 557

Step 4: Therefore, the least common multiple of 7790 and 7798 is 30373210.