Least Common Multiple of 7722 and 7730

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 7730 the smallest integer that is 29845530 that is divisible by both numbers.

Least Common Multiple (LCM) of 7722 and 7730 is 29845530.

LCM(7722,7730) = 29845530

LCM of 7722 and 7730

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

LCM of:
and

Least Common Multiple of 7722 and 7730

LCM of 7722 and 7730 is 29845530

Least common multiple can be found by multiplying the highest exponent prime factors of 7722 and 7730. First we will calculate the prime factors of 7722 and 7730.

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 7730


2 7730
5 3865
773 773
1

Prime factors of 7730 are 2, 5,773. Prime factorization of 7730 in exponential form is:

7730 = 21×51×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 7722 and 7730.

LCM(7722,7730) = 21×33×51×111×131×7731
LCM(7722,7730) = 29845530

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 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1, 2, 5, 10, 773, 1546, 3865, 7730

Least Common Multiple of 7722 and 7730 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 7730, than apply into the LCM equation.

GCF(7722,7730) = 2
LCM(7722,7730) = ( 7722 × 7730) / 2
LCM(7722,7730) = 59691060 / 2
LCM(7722,7730) = 29845530

Properties of LCM 7722 and 7730

(i) The LCM of 7730 and 7722 is associative

LCM of 7722 and 7730 = LCM of 7730 and 7722

Related Least Common Multiples of 7722

Related Least Common Multiples of 7730

Frequently Asked Questions on LCM of 7722 and 7730

1. What is the LCM of 7722 and 7730?

Answer: LCM of 7722 and 7730 is 29845530.

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 7730?

Answer: Factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730. There are 8 integers that are factors of 7730. The greatest factor of 7730 is 7730.

4. How to Find the LCM of 7722 and 7730?

Answer:

Least Common Multiple of 7722 and 7730 = 29845530

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 7730

7730 = 2 x 5 x 773

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

LCM = 29845530 = 2 x 3 x 3 x 3 x 5 x 11 x 13 x 773

Step 4: Therefore, the least common multiple of 7722 and 7730 is 29845530.