Least Common Multiple of 7789 and 7790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7789 and 7790 the smallest integer that is 60676310 that is divisible by both numbers.

Least Common Multiple (LCM) of 7789 and 7790 is 60676310.

LCM(7789,7790) = 60676310

LCM of 7789 and 7790

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

LCM of:
and

Least Common Multiple of 7789 and 7790

LCM of 7789 and 7790 is 60676310

Least common multiple can be found by multiplying the highest exponent prime factors of 7789 and 7790. First we will calculate the prime factors of 7789 and 7790.

Prime Factorization of 7789


7789 7789
1

Prime factors of 7789 are 7789. Prime factorization of 7789 in exponential form is:

7789 = 77891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7789 and 7790.

LCM(7789,7790) = 21×51×191×411×77891
LCM(7789,7790) = 60676310

Factors of 7789

List of positive integer factors of 7789 that divides 7789 without a remainder.

1, 7789

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

Least Common Multiple of 7789 and 7790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7789 and 7790, than apply into the LCM equation.

GCF(7789,7790) = 1
LCM(7789,7790) = ( 7789 × 7790) / 1
LCM(7789,7790) = 60676310 / 1
LCM(7789,7790) = 60676310

Properties of LCM 7789 and 7790

(i) The LCM of 7790 and 7789 is associative

LCM of 7789 and 7790 = LCM of 7790 and 7789

Related Least Common Multiples of 7789

Related Least Common Multiples of 7790

Frequently Asked Questions on LCM of 7789 and 7790

1. What is the LCM of 7789 and 7790?

Answer: LCM of 7789 and 7790 is 60676310.

2. What are the Factors of 7789?

Answer: Factors of 7789 are 1, 7789. There are 2 integers that are factors of 7789. The greatest factor of 7789 is 7789.

3. 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.

4. How to Find the LCM of 7789 and 7790?

Answer:

Least Common Multiple of 7789 and 7790 = 60676310

Step 1: Find the prime factorization of 7789

7789 = 7789

Step 2: Find the prime factorization of 7790

7790 = 2 x 5 x 19 x 41

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

LCM = 60676310 = 2 x 5 x 19 x 41 x 7789

Step 4: Therefore, the least common multiple of 7789 and 7790 is 60676310.