Least Common Multiple of 9632 and 9637

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 9637 the smallest integer that is 92823584 that is divisible by both numbers.

Least Common Multiple (LCM) of 9632 and 9637 is 92823584.

LCM(9632,9637) = 92823584

LCM of 9632 and 9637

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

LCM of:
and

Least Common Multiple of 9632 and 9637

LCM of 9632 and 9637 is 92823584

Least common multiple can be found by multiplying the highest exponent prime factors of 9632 and 9637. First we will calculate the prime factors of 9632 and 9637.

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 9637


23 9637
419 419
1

Prime factors of 9637 are 23,419. Prime factorization of 9637 in exponential form is:

9637 = 231×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 9632 and 9637.

LCM(9632,9637) = 25×71×231×431×4191
LCM(9632,9637) = 92823584

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 9637

List of positive integer factors of 9637 that divides 9637 without a remainder.

1, 23, 419, 9637

Least Common Multiple of 9632 and 9637 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 9637, than apply into the LCM equation.

GCF(9632,9637) = 1
LCM(9632,9637) = ( 9632 × 9637) / 1
LCM(9632,9637) = 92823584 / 1
LCM(9632,9637) = 92823584

Properties of LCM 9632 and 9637

(i) The LCM of 9637 and 9632 is associative

LCM of 9632 and 9637 = LCM of 9637 and 9632

Related Least Common Multiples of 9632

Related Least Common Multiples of 9637

Frequently Asked Questions on LCM of 9632 and 9637

1. What is the LCM of 9632 and 9637?

Answer: LCM of 9632 and 9637 is 92823584.

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 9637?

Answer: Factors of 9637 are 1, 23, 419, 9637. There are 4 integers that are factors of 9637. The greatest factor of 9637 is 9637.

4. How to Find the LCM of 9632 and 9637?

Answer:

Least Common Multiple of 9632 and 9637 = 92823584

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 9637

9637 = 23 x 419

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

LCM = 92823584 = 2 x 2 x 2 x 2 x 2 x 7 x 23 x 43 x 419

Step 4: Therefore, the least common multiple of 9632 and 9637 is 92823584.