Least Common Multiple of 8652 and 8660

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 8660 the smallest integer that is 18731580 that is divisible by both numbers.

Least Common Multiple (LCM) of 8652 and 8660 is 18731580.

LCM(8652,8660) = 18731580

LCM of 8652 and 8660

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

LCM of:
and

Least Common Multiple of 8652 and 8660

LCM of 8652 and 8660 is 18731580

Least common multiple can be found by multiplying the highest exponent prime factors of 8652 and 8660. First we will calculate the prime factors of 8652 and 8660.

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 8660


2 8660
2 4330
5 2165
433 433
1

Prime factors of 8660 are 2, 5,433. Prime factorization of 8660 in exponential form is:

8660 = 22×51×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 8652 and 8660.

LCM(8652,8660) = 22×31×51×71×1031×4331
LCM(8652,8660) = 18731580

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 8660

List of positive integer factors of 8660 that divides 8660 without a remainder.

1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660

Least Common Multiple of 8652 and 8660 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 8660, than apply into the LCM equation.

GCF(8652,8660) = 4
LCM(8652,8660) = ( 8652 × 8660) / 4
LCM(8652,8660) = 74926320 / 4
LCM(8652,8660) = 18731580

Properties of LCM 8652 and 8660

(i) The LCM of 8660 and 8652 is associative

LCM of 8652 and 8660 = LCM of 8660 and 8652

Related Least Common Multiples of 8652

Related Least Common Multiples of 8660

Frequently Asked Questions on LCM of 8652 and 8660

1. What is the LCM of 8652 and 8660?

Answer: LCM of 8652 and 8660 is 18731580.

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 8660?

Answer: Factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660. There are 12 integers that are factors of 8660. The greatest factor of 8660 is 8660.

4. How to Find the LCM of 8652 and 8660?

Answer:

Least Common Multiple of 8652 and 8660 = 18731580

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 8660

8660 = 2 x 2 x 5 x 433

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

LCM = 18731580 = 2 x 2 x 3 x 5 x 7 x 103 x 433

Step 4: Therefore, the least common multiple of 8652 and 8660 is 18731580.