Least Common Multiple of 9628 and 9632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9628 and 9632 the smallest integer that is 23184224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9628 and 9632 is 23184224.

LCM(9628,9632) = 23184224

LCM of 9628 and 9632

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

LCM of:
and

Least Common Multiple of 9628 and 9632

LCM of 9628 and 9632 is 23184224

Least common multiple can be found by multiplying the highest exponent prime factors of 9628 and 9632. First we will calculate the prime factors of 9628 and 9632.

Prime Factorization of 9628


2 9628
2 4814
29 2407
83 83
1

Prime factors of 9628 are 2, 29,83. Prime factorization of 9628 in exponential form is:

9628 = 22×291×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9628 and 9632.

LCM(9628,9632) = 25×71×291×431×831
LCM(9628,9632) = 23184224

Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628

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

Least Common Multiple of 9628 and 9632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9628 and 9632, than apply into the LCM equation.

GCF(9628,9632) = 4
LCM(9628,9632) = ( 9628 × 9632) / 4
LCM(9628,9632) = 92736896 / 4
LCM(9628,9632) = 23184224

Properties of LCM 9628 and 9632

(i) The LCM of 9632 and 9628 is associative

LCM of 9628 and 9632 = LCM of 9632 and 9628

Related Least Common Multiples of 9628

Related Least Common Multiples of 9632

Frequently Asked Questions on LCM of 9628 and 9632

1. What is the LCM of 9628 and 9632?

Answer: LCM of 9628 and 9632 is 23184224.

2. What are the Factors of 9628?

Answer: Factors of 9628 are 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628. There are 12 integers that are factors of 9628. The greatest factor of 9628 is 9628.

3. 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.

4. How to Find the LCM of 9628 and 9632?

Answer:

Least Common Multiple of 9628 and 9632 = 23184224

Step 1: Find the prime factorization of 9628

9628 = 2 x 2 x 29 x 83

Step 2: Find the prime factorization of 9632

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

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

LCM = 23184224 = 2 x 2 x 2 x 2 x 2 x 7 x 29 x 43 x 83

Step 4: Therefore, the least common multiple of 9628 and 9632 is 23184224.