Least Common Multiple of 7787 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 7787 and 7790 the smallest integer that is 60660730 that is divisible by both numbers.

Least Common Multiple (LCM) of 7787 and 7790 is 60660730.

LCM(7787,7790) = 60660730

LCM of 7787 and 7790

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

LCM of:
and

Least Common Multiple of 7787 and 7790

LCM of 7787 and 7790 is 60660730

Least common multiple can be found by multiplying the highest exponent prime factors of 7787 and 7790. First we will calculate the prime factors of 7787 and 7790.

Prime Factorization of 7787


13 7787
599 599
1

Prime factors of 7787 are 13,599. Prime factorization of 7787 in exponential form is:

7787 = 131×5991

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 7787 and 7790.

LCM(7787,7790) = 21×51×131×191×411×5991
LCM(7787,7790) = 60660730

Factors of 7787

List of positive integer factors of 7787 that divides 7787 without a remainder.

1, 13, 599, 7787

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 7787 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 7787 and 7790, than apply into the LCM equation.

GCF(7787,7790) = 1
LCM(7787,7790) = ( 7787 × 7790) / 1
LCM(7787,7790) = 60660730 / 1
LCM(7787,7790) = 60660730

Properties of LCM 7787 and 7790

(i) The LCM of 7790 and 7787 is associative

LCM of 7787 and 7790 = LCM of 7790 and 7787

Related Least Common Multiples of 7787

Related Least Common Multiples of 7790

Frequently Asked Questions on LCM of 7787 and 7790

1. What is the LCM of 7787 and 7790?

Answer: LCM of 7787 and 7790 is 60660730.

2. What are the Factors of 7787?

Answer: Factors of 7787 are 1, 13, 599, 7787. There are 4 integers that are factors of 7787. The greatest factor of 7787 is 7787.

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 7787 and 7790?

Answer:

Least Common Multiple of 7787 and 7790 = 60660730

Step 1: Find the prime factorization of 7787

7787 = 13 x 599

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 = 60660730 = 2 x 5 x 13 x 19 x 41 x 599

Step 4: Therefore, the least common multiple of 7787 and 7790 is 60660730.