Least Common Multiple of 7714 and 7722

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 7722 the smallest integer that is 29783754 that is divisible by both numbers.

Least Common Multiple (LCM) of 7714 and 7722 is 29783754.

LCM(7714,7722) = 29783754

LCM of 7714 and 7722

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

LCM of:
and

Least Common Multiple of 7714 and 7722

LCM of 7714 and 7722 is 29783754

Least common multiple can be found by multiplying the highest exponent prime factors of 7714 and 7722. First we will calculate the prime factors of 7714 and 7722.

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 7722


2 7722
3 3861
3 1287
3 429
11 143
13 13
1

Prime factors of 7722 are 2, 3, 11,13. Prime factorization of 7722 in exponential form is:

7722 = 21×33×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7714 and 7722.

LCM(7714,7722) = 21×33×71×111×131×191×291
LCM(7714,7722) = 29783754

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 7722

List of positive integer factors of 7722 that divides 7722 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722

Least Common Multiple of 7714 and 7722 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 7722, than apply into the LCM equation.

GCF(7714,7722) = 2
LCM(7714,7722) = ( 7714 × 7722) / 2
LCM(7714,7722) = 59567508 / 2
LCM(7714,7722) = 29783754

Properties of LCM 7714 and 7722

(i) The LCM of 7722 and 7714 is associative

LCM of 7714 and 7722 = LCM of 7722 and 7714

Related Least Common Multiples of 7714

Related Least Common Multiples of 7722

Frequently Asked Questions on LCM of 7714 and 7722

1. What is the LCM of 7714 and 7722?

Answer: LCM of 7714 and 7722 is 29783754.

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 7722?

Answer: Factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722. There are 32 integers that are factors of 7722. The greatest factor of 7722 is 7722.

4. How to Find the LCM of 7714 and 7722?

Answer:

Least Common Multiple of 7714 and 7722 = 29783754

Step 1: Find the prime factorization of 7714

7714 = 2 x 7 x 19 x 29

Step 2: Find the prime factorization of 7722

7722 = 2 x 3 x 3 x 3 x 11 x 13

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

LCM = 29783754 = 2 x 3 x 3 x 3 x 7 x 11 x 13 x 19 x 29

Step 4: Therefore, the least common multiple of 7714 and 7722 is 29783754.