Least Common Multiple of 8652 and 8656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8652 and 8656 the smallest integer that is 18722928 that is divisible by both numbers.

Least Common Multiple (LCM) of 8652 and 8656 is 18722928.

LCM(8652,8656) = 18722928

LCM of 8652 and 8656

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

LCM of:
and

Least Common Multiple of 8652 and 8656

LCM of 8652 and 8656 is 18722928

Least common multiple can be found by multiplying the highest exponent prime factors of 8652 and 8656. First we will calculate the prime factors of 8652 and 8656.

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

Prime Factorization of 8656


2 8656
2 4328
2 2164
2 1082
541 541
1

Prime factors of 8656 are 2,541. Prime factorization of 8656 in exponential form is:

8656 = 24×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 8652 and 8656.

LCM(8652,8656) = 24×31×71×1031×5411
LCM(8652,8656) = 18722928

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

Factors of 8656

List of positive integer factors of 8656 that divides 8656 without a remainder.

1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656

Least Common Multiple of 8652 and 8656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8652 and 8656, than apply into the LCM equation.

GCF(8652,8656) = 4
LCM(8652,8656) = ( 8652 × 8656) / 4
LCM(8652,8656) = 74891712 / 4
LCM(8652,8656) = 18722928

Properties of LCM 8652 and 8656

(i) The LCM of 8656 and 8652 is associative

LCM of 8652 and 8656 = LCM of 8656 and 8652

Related Least Common Multiples of 8652

Related Least Common Multiples of 8656

Frequently Asked Questions on LCM of 8652 and 8656

1. What is the LCM of 8652 and 8656?

Answer: LCM of 8652 and 8656 is 18722928.

2. 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.

3. What are the Factors of 8656?

Answer: Factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656. There are 10 integers that are factors of 8656. The greatest factor of 8656 is 8656.

4. How to Find the LCM of 8652 and 8656?

Answer:

Least Common Multiple of 8652 and 8656 = 18722928

Step 1: Find the prime factorization of 8652

8652 = 2 x 2 x 3 x 7 x 103

Step 2: Find the prime factorization of 8656

8656 = 2 x 2 x 2 x 2 x 541

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

LCM = 18722928 = 2 x 2 x 2 x 2 x 3 x 7 x 103 x 541

Step 4: Therefore, the least common multiple of 8652 and 8656 is 18722928.