Least Common Multiple of 7714 and 7718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7714 and 7718 the smallest integer that is 29768326 that is divisible by both numbers.

Least Common Multiple (LCM) of 7714 and 7718 is 29768326.

LCM(7714,7718) = 29768326

LCM of 7714 and 7718

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

LCM of:
and

Least Common Multiple of 7714 and 7718

LCM of 7714 and 7718 is 29768326

Least common multiple can be found by multiplying the highest exponent prime factors of 7714 and 7718. First we will calculate the prime factors of 7714 and 7718.

Prime Factorization of 7714


2 7714
7 3857
19 551
29 29
1

Prime factors of 7714 are 2, 7, 19,29. Prime factorization of 7714 in exponential form is:

7714 = 21×71×191×291

Prime Factorization of 7718


2 7718
17 3859
227 227
1

Prime factors of 7718 are 2, 17,227. Prime factorization of 7718 in exponential form is:

7718 = 21×171×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7714 and 7718.

LCM(7714,7718) = 21×71×171×191×291×2271
LCM(7714,7718) = 29768326

Factors of 7714

List of positive integer factors of 7714 that divides 7714 without a remainder.

1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714

Factors of 7718

List of positive integer factors of 7718 that divides 7718 without a remainder.

1, 2, 17, 34, 227, 454, 3859, 7718

Least Common Multiple of 7714 and 7718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7714 and 7718, than apply into the LCM equation.

GCF(7714,7718) = 2
LCM(7714,7718) = ( 7714 × 7718) / 2
LCM(7714,7718) = 59536652 / 2
LCM(7714,7718) = 29768326

Properties of LCM 7714 and 7718

(i) The LCM of 7718 and 7714 is associative

LCM of 7714 and 7718 = LCM of 7718 and 7714

Related Least Common Multiples of 7714

Related Least Common Multiples of 7718

Frequently Asked Questions on LCM of 7714 and 7718

1. What is the LCM of 7714 and 7718?

Answer: LCM of 7714 and 7718 is 29768326.

2. What are the Factors of 7714?

Answer: Factors of 7714 are 1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714. There are 16 integers that are factors of 7714. The greatest factor of 7714 is 7714.

3. What are the Factors of 7718?

Answer: Factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718. There are 8 integers that are factors of 7718. The greatest factor of 7718 is 7718.

4. How to Find the LCM of 7714 and 7718?

Answer:

Least Common Multiple of 7714 and 7718 = 29768326

Step 1: Find the prime factorization of 7714

7714 = 2 x 7 x 19 x 29

Step 2: Find the prime factorization of 7718

7718 = 2 x 17 x 227

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

LCM = 29768326 = 2 x 7 x 17 x 19 x 29 x 227

Step 4: Therefore, the least common multiple of 7714 and 7718 is 29768326.