Least Common Multiple of 9639 and 9645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9639 and 9645 the smallest integer that is 30989385 that is divisible by both numbers.

Least Common Multiple (LCM) of 9639 and 9645 is 30989385.

LCM(9639,9645) = 30989385

LCM of 9639 and 9645

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

LCM of:
and

Least Common Multiple of 9639 and 9645

LCM of 9639 and 9645 is 30989385

Least common multiple can be found by multiplying the highest exponent prime factors of 9639 and 9645. First we will calculate the prime factors of 9639 and 9645.

Prime Factorization of 9639


3 9639
3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 9639 are 3, 7,17. Prime factorization of 9639 in exponential form is:

9639 = 34×71×171

Prime Factorization of 9645


3 9645
5 3215
643 643
1

Prime factors of 9645 are 3, 5,643. Prime factorization of 9645 in exponential form is:

9645 = 31×51×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 9639 and 9645.

LCM(9639,9645) = 34×51×71×171×6431
LCM(9639,9645) = 30989385

Factors of 9639

List of positive integer factors of 9639 that divides 9639 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639

Factors of 9645

List of positive integer factors of 9645 that divides 9645 without a remainder.

1, 3, 5, 15, 643, 1929, 3215, 9645

Least Common Multiple of 9639 and 9645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9639 and 9645, than apply into the LCM equation.

GCF(9639,9645) = 3
LCM(9639,9645) = ( 9639 × 9645) / 3
LCM(9639,9645) = 92968155 / 3
LCM(9639,9645) = 30989385

Properties of LCM 9639 and 9645

(i) The LCM of 9645 and 9639 is associative

LCM of 9639 and 9645 = LCM of 9645 and 9639

Related Least Common Multiples of 9639

Related Least Common Multiples of 9645

Frequently Asked Questions on LCM of 9639 and 9645

1. What is the LCM of 9639 and 9645?

Answer: LCM of 9639 and 9645 is 30989385.

2. What are the Factors of 9639?

Answer: Factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639. There are 20 integers that are factors of 9639. The greatest factor of 9639 is 9639.

3. What are the Factors of 9645?

Answer: Factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645. There are 8 integers that are factors of 9645. The greatest factor of 9645 is 9645.

4. How to Find the LCM of 9639 and 9645?

Answer:

Least Common Multiple of 9639 and 9645 = 30989385

Step 1: Find the prime factorization of 9639

9639 = 3 x 3 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 9645

9645 = 3 x 5 x 643

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

LCM = 30989385 = 3 x 3 x 3 x 3 x 5 x 7 x 17 x 643

Step 4: Therefore, the least common multiple of 9639 and 9645 is 30989385.