Least Common Multiple of 7805 and 7810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7805 and 7810 the smallest integer that is 12191410 that is divisible by both numbers.

Least Common Multiple (LCM) of 7805 and 7810 is 12191410.

LCM(7805,7810) = 12191410

LCM of 7805 and 7810

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

LCM of:
and

Least Common Multiple of 7805 and 7810

LCM of 7805 and 7810 is 12191410

Least common multiple can be found by multiplying the highest exponent prime factors of 7805 and 7810. First we will calculate the prime factors of 7805 and 7810.

Prime Factorization of 7805


5 7805
7 1561
223 223
1

Prime factors of 7805 are 5, 7,223. Prime factorization of 7805 in exponential form is:

7805 = 51×71×2231

Prime Factorization of 7810


2 7810
5 3905
11 781
71 71
1

Prime factors of 7810 are 2, 5, 11,71. Prime factorization of 7810 in exponential form is:

7810 = 21×51×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7805 and 7810.

LCM(7805,7810) = 21×51×71×111×711×2231
LCM(7805,7810) = 12191410

Factors of 7805

List of positive integer factors of 7805 that divides 7805 without a remainder.

1, 5, 7, 35, 223, 1115, 1561, 7805

Factors of 7810

List of positive integer factors of 7810 that divides 7810 without a remainder.

1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810

Least Common Multiple of 7805 and 7810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7805 and 7810, than apply into the LCM equation.

GCF(7805,7810) = 5
LCM(7805,7810) = ( 7805 × 7810) / 5
LCM(7805,7810) = 60957050 / 5
LCM(7805,7810) = 12191410

Properties of LCM 7805 and 7810

(i) The LCM of 7810 and 7805 is associative

LCM of 7805 and 7810 = LCM of 7810 and 7805

Related Least Common Multiples of 7805

Related Least Common Multiples of 7810

Frequently Asked Questions on LCM of 7805 and 7810

1. What is the LCM of 7805 and 7810?

Answer: LCM of 7805 and 7810 is 12191410.

2. What are the Factors of 7805?

Answer: Factors of 7805 are 1, 5, 7, 35, 223, 1115, 1561, 7805. There are 8 integers that are factors of 7805. The greatest factor of 7805 is 7805.

3. What are the Factors of 7810?

Answer: Factors of 7810 are 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810. There are 16 integers that are factors of 7810. The greatest factor of 7810 is 7810.

4. How to Find the LCM of 7805 and 7810?

Answer:

Least Common Multiple of 7805 and 7810 = 12191410

Step 1: Find the prime factorization of 7805

7805 = 5 x 7 x 223

Step 2: Find the prime factorization of 7810

7810 = 2 x 5 x 11 x 71

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

LCM = 12191410 = 2 x 5 x 7 x 11 x 71 x 223

Step 4: Therefore, the least common multiple of 7805 and 7810 is 12191410.