Least Common Multiple of 9632 and 9636

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 9636 the smallest integer that is 23203488 that is divisible by both numbers.

Least Common Multiple (LCM) of 9632 and 9636 is 23203488.

LCM(9632,9636) = 23203488

LCM of 9632 and 9636

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

LCM of:
and

Least Common Multiple of 9632 and 9636

LCM of 9632 and 9636 is 23203488

Least common multiple can be found by multiplying the highest exponent prime factors of 9632 and 9636. First we will calculate the prime factors of 9632 and 9636.

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 9636


2 9636
2 4818
3 2409
11 803
73 73
1

Prime factors of 9636 are 2, 3, 11,73. Prime factorization of 9636 in exponential form is:

9636 = 22×31×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9632 and 9636.

LCM(9632,9636) = 25×31×71×111×431×731
LCM(9632,9636) = 23203488

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 9636

List of positive integer factors of 9636 that divides 9636 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636

Least Common Multiple of 9632 and 9636 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 9636, than apply into the LCM equation.

GCF(9632,9636) = 4
LCM(9632,9636) = ( 9632 × 9636) / 4
LCM(9632,9636) = 92813952 / 4
LCM(9632,9636) = 23203488

Properties of LCM 9632 and 9636

(i) The LCM of 9636 and 9632 is associative

LCM of 9632 and 9636 = LCM of 9636 and 9632

Related Least Common Multiples of 9632

Related Least Common Multiples of 9636

Frequently Asked Questions on LCM of 9632 and 9636

1. What is the LCM of 9632 and 9636?

Answer: LCM of 9632 and 9636 is 23203488.

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 9636?

Answer: Factors of 9636 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636. There are 24 integers that are factors of 9636. The greatest factor of 9636 is 9636.

4. How to Find the LCM of 9632 and 9636?

Answer:

Least Common Multiple of 9632 and 9636 = 23203488

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 9636

9636 = 2 x 2 x 3 x 11 x 73

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

LCM = 23203488 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 43 x 73

Step 4: Therefore, the least common multiple of 9632 and 9636 is 23203488.