Least Common Multiple of 9632 and 9640

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 9640 the smallest integer that is 11606560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9632 and 9640 is 11606560.

LCM(9632,9640) = 11606560

LCM of 9632 and 9640

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

LCM of:
and

Least Common Multiple of 9632 and 9640

LCM of 9632 and 9640 is 11606560

Least common multiple can be found by multiplying the highest exponent prime factors of 9632 and 9640. First we will calculate the prime factors of 9632 and 9640.

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 9640


2 9640
2 4820
2 2410
5 1205
241 241
1

Prime factors of 9640 are 2, 5,241. Prime factorization of 9640 in exponential form is:

9640 = 23×51×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 9632 and 9640.

LCM(9632,9640) = 25×51×71×431×2411
LCM(9632,9640) = 11606560

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 9640

List of positive integer factors of 9640 that divides 9640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640

Least Common Multiple of 9632 and 9640 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 9640, than apply into the LCM equation.

GCF(9632,9640) = 8
LCM(9632,9640) = ( 9632 × 9640) / 8
LCM(9632,9640) = 92852480 / 8
LCM(9632,9640) = 11606560

Properties of LCM 9632 and 9640

(i) The LCM of 9640 and 9632 is associative

LCM of 9632 and 9640 = LCM of 9640 and 9632

Related Least Common Multiples of 9632

Related Least Common Multiples of 9640

Frequently Asked Questions on LCM of 9632 and 9640

1. What is the LCM of 9632 and 9640?

Answer: LCM of 9632 and 9640 is 11606560.

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 9640?

Answer: Factors of 9640 are 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640. There are 16 integers that are factors of 9640. The greatest factor of 9640 is 9640.

4. How to Find the LCM of 9632 and 9640?

Answer:

Least Common Multiple of 9632 and 9640 = 11606560

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 9640

9640 = 2 x 2 x 2 x 5 x 241

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

LCM = 11606560 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 43 x 241

Step 4: Therefore, the least common multiple of 9632 and 9640 is 11606560.