Least Common Multiple of 8648 and 8652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8648 and 8652 the smallest integer that is 18705624 that is divisible by both numbers.

Least Common Multiple (LCM) of 8648 and 8652 is 18705624.

LCM(8648,8652) = 18705624

LCM of 8648 and 8652

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

LCM of:
and

Least Common Multiple of 8648 and 8652

LCM of 8648 and 8652 is 18705624

Least common multiple can be found by multiplying the highest exponent prime factors of 8648 and 8652. First we will calculate the prime factors of 8648 and 8652.

Prime Factorization of 8648


2 8648
2 4324
2 2162
23 1081
47 47
1

Prime factors of 8648 are 2, 23,47. Prime factorization of 8648 in exponential form is:

8648 = 23×231×471

Prime Factorization of 8652


2 8652
2 4326
3 2163
7 721
103 103
1

Prime factors of 8652 are 2, 3, 7,103. Prime factorization of 8652 in exponential form is:

8652 = 22×31×71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8648 and 8652.

LCM(8648,8652) = 23×31×71×231×471×1031
LCM(8648,8652) = 18705624

Factors of 8648

List of positive integer factors of 8648 that divides 8648 without a remainder.

1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648

Factors of 8652

List of positive integer factors of 8652 that divides 8652 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652

Least Common Multiple of 8648 and 8652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8648 and 8652, than apply into the LCM equation.

GCF(8648,8652) = 4
LCM(8648,8652) = ( 8648 × 8652) / 4
LCM(8648,8652) = 74822496 / 4
LCM(8648,8652) = 18705624

Properties of LCM 8648 and 8652

(i) The LCM of 8652 and 8648 is associative

LCM of 8648 and 8652 = LCM of 8652 and 8648

Related Least Common Multiples of 8648

Related Least Common Multiples of 8652

Frequently Asked Questions on LCM of 8648 and 8652

1. What is the LCM of 8648 and 8652?

Answer: LCM of 8648 and 8652 is 18705624.

2. What are the Factors of 8648?

Answer: Factors of 8648 are 1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648. There are 16 integers that are factors of 8648. The greatest factor of 8648 is 8648.

3. What are the Factors of 8652?

Answer: Factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652. There are 24 integers that are factors of 8652. The greatest factor of 8652 is 8652.

4. How to Find the LCM of 8648 and 8652?

Answer:

Least Common Multiple of 8648 and 8652 = 18705624

Step 1: Find the prime factorization of 8648

8648 = 2 x 2 x 2 x 23 x 47

Step 2: Find the prime factorization of 8652

8652 = 2 x 2 x 3 x 7 x 103

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

LCM = 18705624 = 2 x 2 x 2 x 3 x 7 x 23 x 47 x 103

Step 4: Therefore, the least common multiple of 8648 and 8652 is 18705624.