Least Common Multiple of 8652 and 8653

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 8653 the smallest integer that is 74865756 that is divisible by both numbers.

Least Common Multiple (LCM) of 8652 and 8653 is 74865756.

LCM(8652,8653) = 74865756

LCM of 8652 and 8653

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

LCM of:
and

Least Common Multiple of 8652 and 8653

LCM of 8652 and 8653 is 74865756

Least common multiple can be found by multiplying the highest exponent prime factors of 8652 and 8653. First we will calculate the prime factors of 8652 and 8653.

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 8653


17 8653
509 509
1

Prime factors of 8653 are 17,509. Prime factorization of 8653 in exponential form is:

8653 = 171×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 8652 and 8653.

LCM(8652,8653) = 22×31×71×171×1031×5091
LCM(8652,8653) = 74865756

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 8653

List of positive integer factors of 8653 that divides 8653 without a remainder.

1, 17, 509, 8653

Least Common Multiple of 8652 and 8653 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 8653, than apply into the LCM equation.

GCF(8652,8653) = 1
LCM(8652,8653) = ( 8652 × 8653) / 1
LCM(8652,8653) = 74865756 / 1
LCM(8652,8653) = 74865756

Properties of LCM 8652 and 8653

(i) The LCM of 8653 and 8652 is associative

LCM of 8652 and 8653 = LCM of 8653 and 8652

Related Least Common Multiples of 8652

Related Least Common Multiples of 8653

Frequently Asked Questions on LCM of 8652 and 8653

1. What is the LCM of 8652 and 8653?

Answer: LCM of 8652 and 8653 is 74865756.

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 8653?

Answer: Factors of 8653 are 1, 17, 509, 8653. There are 4 integers that are factors of 8653. The greatest factor of 8653 is 8653.

4. How to Find the LCM of 8652 and 8653?

Answer:

Least Common Multiple of 8652 and 8653 = 74865756

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 8653

8653 = 17 x 509

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

LCM = 74865756 = 2 x 2 x 3 x 7 x 17 x 103 x 509

Step 4: Therefore, the least common multiple of 8652 and 8653 is 74865756.