Least Common Multiple of 8652 and 8659

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 8659 the smallest integer that is 10702524 that is divisible by both numbers.

Least Common Multiple (LCM) of 8652 and 8659 is 10702524.

LCM(8652,8659) = 10702524

LCM of 8652 and 8659

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

LCM of:
and

Least Common Multiple of 8652 and 8659

LCM of 8652 and 8659 is 10702524

Least common multiple can be found by multiplying the highest exponent prime factors of 8652 and 8659. First we will calculate the prime factors of 8652 and 8659.

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 8659


7 8659
1237 1237
1

Prime factors of 8659 are 7,1237. Prime factorization of 8659 in exponential form is:

8659 = 71×12371

Now multiplying the highest exponent prime factors to calculate the LCM of 8652 and 8659.

LCM(8652,8659) = 22×31×71×1031×12371
LCM(8652,8659) = 10702524

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 8659

List of positive integer factors of 8659 that divides 8659 without a remainder.

1, 7, 1237, 8659

Least Common Multiple of 8652 and 8659 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 8659, than apply into the LCM equation.

GCF(8652,8659) = 7
LCM(8652,8659) = ( 8652 × 8659) / 7
LCM(8652,8659) = 74917668 / 7
LCM(8652,8659) = 10702524

Properties of LCM 8652 and 8659

(i) The LCM of 8659 and 8652 is associative

LCM of 8652 and 8659 = LCM of 8659 and 8652

Related Least Common Multiples of 8652

Related Least Common Multiples of 8659

Frequently Asked Questions on LCM of 8652 and 8659

1. What is the LCM of 8652 and 8659?

Answer: LCM of 8652 and 8659 is 10702524.

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 8659?

Answer: Factors of 8659 are 1, 7, 1237, 8659. There are 4 integers that are factors of 8659. The greatest factor of 8659 is 8659.

4. How to Find the LCM of 8652 and 8659?

Answer:

Least Common Multiple of 8652 and 8659 = 10702524

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 8659

8659 = 7 x 1237

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

LCM = 10702524 = 2 x 2 x 3 x 7 x 103 x 1237

Step 4: Therefore, the least common multiple of 8652 and 8659 is 10702524.