Least Common Multiple of 9632 and 9638

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 9638 the smallest integer that is 46416608 that is divisible by both numbers.

Least Common Multiple (LCM) of 9632 and 9638 is 46416608.

LCM(9632,9638) = 46416608

LCM of 9632 and 9638

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

LCM of:
and

Least Common Multiple of 9632 and 9638

LCM of 9632 and 9638 is 46416608

Least common multiple can be found by multiplying the highest exponent prime factors of 9632 and 9638. First we will calculate the prime factors of 9632 and 9638.

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 9638


2 9638
61 4819
79 79
1

Prime factors of 9638 are 2, 61,79. Prime factorization of 9638 in exponential form is:

9638 = 21×611×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9632 and 9638.

LCM(9632,9638) = 25×71×431×611×791
LCM(9632,9638) = 46416608

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 9638

List of positive integer factors of 9638 that divides 9638 without a remainder.

1, 2, 61, 79, 122, 158, 4819, 9638

Least Common Multiple of 9632 and 9638 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 9638, than apply into the LCM equation.

GCF(9632,9638) = 2
LCM(9632,9638) = ( 9632 × 9638) / 2
LCM(9632,9638) = 92833216 / 2
LCM(9632,9638) = 46416608

Properties of LCM 9632 and 9638

(i) The LCM of 9638 and 9632 is associative

LCM of 9632 and 9638 = LCM of 9638 and 9632

Related Least Common Multiples of 9632

Related Least Common Multiples of 9638

Frequently Asked Questions on LCM of 9632 and 9638

1. What is the LCM of 9632 and 9638?

Answer: LCM of 9632 and 9638 is 46416608.

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 9638?

Answer: Factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638. There are 8 integers that are factors of 9638. The greatest factor of 9638 is 9638.

4. How to Find the LCM of 9632 and 9638?

Answer:

Least Common Multiple of 9632 and 9638 = 46416608

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 9638

9638 = 2 x 61 x 79

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

LCM = 46416608 = 2 x 2 x 2 x 2 x 2 x 7 x 43 x 61 x 79

Step 4: Therefore, the least common multiple of 9632 and 9638 is 46416608.