Least Common Multiple of 9632 and 9639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9632 and 9639 the smallest integer that is 13263264 that is divisible by both numbers.

Least Common Multiple (LCM) of 9632 and 9639 is 13263264.

LCM(9632,9639) = 13263264

LCM of 9632 and 9639

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

LCM of:
and

Least Common Multiple of 9632 and 9639

LCM of 9632 and 9639 is 13263264

Least common multiple can be found by multiplying the highest exponent prime factors of 9632 and 9639. First we will calculate the prime factors of 9632 and 9639.

Prime Factorization of 9632


2 9632
2 4816
2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 9632 are 2, 7,43. Prime factorization of 9632 in exponential form is:

9632 = 25×71×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9632 and 9639.

LCM(9632,9639) = 25×34×71×171×431
LCM(9632,9639) = 13263264

Factors of 9632

List of positive integer factors of 9632 that divides 9632 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632

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

Least Common Multiple of 9632 and 9639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9632 and 9639, than apply into the LCM equation.

GCF(9632,9639) = 7
LCM(9632,9639) = ( 9632 × 9639) / 7
LCM(9632,9639) = 92842848 / 7
LCM(9632,9639) = 13263264

Properties of LCM 9632 and 9639

(i) The LCM of 9639 and 9632 is associative

LCM of 9632 and 9639 = LCM of 9639 and 9632

Related Least Common Multiples of 9632

Related Least Common Multiples of 9639

Frequently Asked Questions on LCM of 9632 and 9639

1. What is the LCM of 9632 and 9639?

Answer: LCM of 9632 and 9639 is 13263264.

2. What are the Factors of 9632?

Answer: Factors of 9632 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632. There are 24 integers that are factors of 9632. The greatest factor of 9632 is 9632.

3. 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.

4. How to Find the LCM of 9632 and 9639?

Answer:

Least Common Multiple of 9632 and 9639 = 13263264

Step 1: Find the prime factorization of 9632

9632 = 2 x 2 x 2 x 2 x 2 x 7 x 43

Step 2: Find the prime factorization of 9639

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

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

LCM = 13263264 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 17 x 43

Step 4: Therefore, the least common multiple of 9632 and 9639 is 13263264.