Least Common Multiple of 7722 and 7724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7722 and 7724 the smallest integer that is 29822364 that is divisible by both numbers.

Least Common Multiple (LCM) of 7722 and 7724 is 29822364.

LCM(7722,7724) = 29822364

LCM of 7722 and 7724

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

LCM of:
and

Least Common Multiple of 7722 and 7724

LCM of 7722 and 7724 is 29822364

Least common multiple can be found by multiplying the highest exponent prime factors of 7722 and 7724. First we will calculate the prime factors of 7722 and 7724.

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

Prime Factorization of 7724


2 7724
2 3862
1931 1931
1

Prime factors of 7724 are 2,1931. Prime factorization of 7724 in exponential form is:

7724 = 22×19311

Now multiplying the highest exponent prime factors to calculate the LCM of 7722 and 7724.

LCM(7722,7724) = 22×33×111×131×19311
LCM(7722,7724) = 29822364

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

Factors of 7724

List of positive integer factors of 7724 that divides 7724 without a remainder.

1, 2, 4, 1931, 3862, 7724

Least Common Multiple of 7722 and 7724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7722 and 7724, than apply into the LCM equation.

GCF(7722,7724) = 2
LCM(7722,7724) = ( 7722 × 7724) / 2
LCM(7722,7724) = 59644728 / 2
LCM(7722,7724) = 29822364

Properties of LCM 7722 and 7724

(i) The LCM of 7724 and 7722 is associative

LCM of 7722 and 7724 = LCM of 7724 and 7722

Related Least Common Multiples of 7722

Related Least Common Multiples of 7724

Frequently Asked Questions on LCM of 7722 and 7724

1. What is the LCM of 7722 and 7724?

Answer: LCM of 7722 and 7724 is 29822364.

2. 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.

3. What are the Factors of 7724?

Answer: Factors of 7724 are 1, 2, 4, 1931, 3862, 7724. There are 6 integers that are factors of 7724. The greatest factor of 7724 is 7724.

4. How to Find the LCM of 7722 and 7724?

Answer:

Least Common Multiple of 7722 and 7724 = 29822364

Step 1: Find the prime factorization of 7722

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

Step 2: Find the prime factorization of 7724

7724 = 2 x 2 x 1931

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

LCM = 29822364 = 2 x 2 x 3 x 3 x 3 x 11 x 13 x 1931

Step 4: Therefore, the least common multiple of 7722 and 7724 is 29822364.