Least Common Multiple of 8632 and 8637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8632 and 8637 the smallest integer that is 74554584 that is divisible by both numbers.

Least Common Multiple (LCM) of 8632 and 8637 is 74554584.

LCM(8632,8637) = 74554584

LCM of 8632 and 8637

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

LCM of:
and

Least Common Multiple of 8632 and 8637

LCM of 8632 and 8637 is 74554584

Least common multiple can be found by multiplying the highest exponent prime factors of 8632 and 8637. First we will calculate the prime factors of 8632 and 8637.

Prime Factorization of 8632


2 8632
2 4316
2 2158
13 1079
83 83
1

Prime factors of 8632 are 2, 13,83. Prime factorization of 8632 in exponential form is:

8632 = 23×131×831

Prime Factorization of 8637


3 8637
2879 2879
1

Prime factors of 8637 are 3,2879. Prime factorization of 8637 in exponential form is:

8637 = 31×28791

Now multiplying the highest exponent prime factors to calculate the LCM of 8632 and 8637.

LCM(8632,8637) = 23×31×131×831×28791
LCM(8632,8637) = 74554584

Factors of 8632

List of positive integer factors of 8632 that divides 8632 without a remainder.

1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632

Factors of 8637

List of positive integer factors of 8637 that divides 8637 without a remainder.

1, 3, 2879, 8637

Least Common Multiple of 8632 and 8637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8632 and 8637, than apply into the LCM equation.

GCF(8632,8637) = 1
LCM(8632,8637) = ( 8632 × 8637) / 1
LCM(8632,8637) = 74554584 / 1
LCM(8632,8637) = 74554584

Properties of LCM 8632 and 8637

(i) The LCM of 8637 and 8632 is associative

LCM of 8632 and 8637 = LCM of 8637 and 8632

Related Least Common Multiples of 8632

Related Least Common Multiples of 8637

Frequently Asked Questions on LCM of 8632 and 8637

1. What is the LCM of 8632 and 8637?

Answer: LCM of 8632 and 8637 is 74554584.

2. What are the Factors of 8632?

Answer: Factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632. There are 16 integers that are factors of 8632. The greatest factor of 8632 is 8632.

3. What are the Factors of 8637?

Answer: Factors of 8637 are 1, 3, 2879, 8637. There are 4 integers that are factors of 8637. The greatest factor of 8637 is 8637.

4. How to Find the LCM of 8632 and 8637?

Answer:

Least Common Multiple of 8632 and 8637 = 74554584

Step 1: Find the prime factorization of 8632

8632 = 2 x 2 x 2 x 13 x 83

Step 2: Find the prime factorization of 8637

8637 = 3 x 2879

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

LCM = 74554584 = 2 x 2 x 2 x 3 x 13 x 83 x 2879

Step 4: Therefore, the least common multiple of 8632 and 8637 is 74554584.