Least Common Multiple of 7810 and 7814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7810 and 7814 the smallest integer that is 30513670 that is divisible by both numbers.

Least Common Multiple (LCM) of 7810 and 7814 is 30513670.

LCM(7810,7814) = 30513670

LCM of 7810 and 7814

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

LCM of:
and

Least Common Multiple of 7810 and 7814

LCM of 7810 and 7814 is 30513670

Least common multiple can be found by multiplying the highest exponent prime factors of 7810 and 7814. First we will calculate the prime factors of 7810 and 7814.

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

Prime Factorization of 7814


2 7814
3907 3907
1

Prime factors of 7814 are 2,3907. Prime factorization of 7814 in exponential form is:

7814 = 21×39071

Now multiplying the highest exponent prime factors to calculate the LCM of 7810 and 7814.

LCM(7810,7814) = 21×51×111×711×39071
LCM(7810,7814) = 30513670

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

Factors of 7814

List of positive integer factors of 7814 that divides 7814 without a remainder.

1, 2, 3907, 7814

Least Common Multiple of 7810 and 7814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7810 and 7814, than apply into the LCM equation.

GCF(7810,7814) = 2
LCM(7810,7814) = ( 7810 × 7814) / 2
LCM(7810,7814) = 61027340 / 2
LCM(7810,7814) = 30513670

Properties of LCM 7810 and 7814

(i) The LCM of 7814 and 7810 is associative

LCM of 7810 and 7814 = LCM of 7814 and 7810

Related Least Common Multiples of 7810

Related Least Common Multiples of 7814

Frequently Asked Questions on LCM of 7810 and 7814

1. What is the LCM of 7810 and 7814?

Answer: LCM of 7810 and 7814 is 30513670.

2. 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.

3. What are the Factors of 7814?

Answer: Factors of 7814 are 1, 2, 3907, 7814. There are 4 integers that are factors of 7814. The greatest factor of 7814 is 7814.

4. How to Find the LCM of 7810 and 7814?

Answer:

Least Common Multiple of 7810 and 7814 = 30513670

Step 1: Find the prime factorization of 7810

7810 = 2 x 5 x 11 x 71

Step 2: Find the prime factorization of 7814

7814 = 2 x 3907

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

LCM = 30513670 = 2 x 5 x 11 x 71 x 3907

Step 4: Therefore, the least common multiple of 7810 and 7814 is 30513670.