Least Common Multiple of 9635 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 9635 and 9639 the smallest integer that is 92871765 that is divisible by both numbers.

Least Common Multiple (LCM) of 9635 and 9639 is 92871765.

LCM(9635,9639) = 92871765

LCM of 9635 and 9639

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

LCM of:
and

Least Common Multiple of 9635 and 9639

LCM of 9635 and 9639 is 92871765

Least common multiple can be found by multiplying the highest exponent prime factors of 9635 and 9639. First we will calculate the prime factors of 9635 and 9639.

Prime Factorization of 9635


5 9635
41 1927
47 47
1

Prime factors of 9635 are 5, 41,47. Prime factorization of 9635 in exponential form is:

9635 = 51×411×471

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 9635 and 9639.

LCM(9635,9639) = 34×51×71×171×411×471
LCM(9635,9639) = 92871765

Factors of 9635

List of positive integer factors of 9635 that divides 9635 without a remainder.

1, 5, 41, 47, 205, 235, 1927, 9635

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 9635 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 9635 and 9639, than apply into the LCM equation.

GCF(9635,9639) = 1
LCM(9635,9639) = ( 9635 × 9639) / 1
LCM(9635,9639) = 92871765 / 1
LCM(9635,9639) = 92871765

Properties of LCM 9635 and 9639

(i) The LCM of 9639 and 9635 is associative

LCM of 9635 and 9639 = LCM of 9639 and 9635

Related Least Common Multiples of 9635

Related Least Common Multiples of 9639

Frequently Asked Questions on LCM of 9635 and 9639

1. What is the LCM of 9635 and 9639?

Answer: LCM of 9635 and 9639 is 92871765.

2. What are the Factors of 9635?

Answer: Factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635. There are 8 integers that are factors of 9635. The greatest factor of 9635 is 9635.

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 9635 and 9639?

Answer:

Least Common Multiple of 9635 and 9639 = 92871765

Step 1: Find the prime factorization of 9635

9635 = 5 x 41 x 47

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 = 92871765 = 3 x 3 x 3 x 3 x 5 x 7 x 17 x 41 x 47

Step 4: Therefore, the least common multiple of 9635 and 9639 is 92871765.