Least Common Multiple of 8602 and 8610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8602 and 8610 the smallest integer that is 37031610 that is divisible by both numbers.

Least Common Multiple (LCM) of 8602 and 8610 is 37031610.

LCM(8602,8610) = 37031610

LCM of 8602 and 8610

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

LCM of:
and

Least Common Multiple of 8602 and 8610

LCM of 8602 and 8610 is 37031610

Least common multiple can be found by multiplying the highest exponent prime factors of 8602 and 8610. First we will calculate the prime factors of 8602 and 8610.

Prime Factorization of 8602


2 8602
11 4301
17 391
23 23
1

Prime factors of 8602 are 2, 11, 17,23. Prime factorization of 8602 in exponential form is:

8602 = 21×111×171×231

Prime Factorization of 8610


2 8610
3 4305
5 1435
7 287
41 41
1

Prime factors of 8610 are 2, 3, 5, 7,41. Prime factorization of 8610 in exponential form is:

8610 = 21×31×51×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8602 and 8610.

LCM(8602,8610) = 21×31×51×71×111×171×231×411
LCM(8602,8610) = 37031610

Factors of 8602

List of positive integer factors of 8602 that divides 8602 without a remainder.

1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602

Factors of 8610

List of positive integer factors of 8610 that divides 8610 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610

Least Common Multiple of 8602 and 8610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8602 and 8610, than apply into the LCM equation.

GCF(8602,8610) = 2
LCM(8602,8610) = ( 8602 × 8610) / 2
LCM(8602,8610) = 74063220 / 2
LCM(8602,8610) = 37031610

Properties of LCM 8602 and 8610

(i) The LCM of 8610 and 8602 is associative

LCM of 8602 and 8610 = LCM of 8610 and 8602

Related Least Common Multiples of 8602

Related Least Common Multiples of 8610

Frequently Asked Questions on LCM of 8602 and 8610

1. What is the LCM of 8602 and 8610?

Answer: LCM of 8602 and 8610 is 37031610.

2. What are the Factors of 8602?

Answer: Factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602. There are 16 integers that are factors of 8602. The greatest factor of 8602 is 8602.

3. What are the Factors of 8610?

Answer: Factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610. There are 32 integers that are factors of 8610. The greatest factor of 8610 is 8610.

4. How to Find the LCM of 8602 and 8610?

Answer:

Least Common Multiple of 8602 and 8610 = 37031610

Step 1: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

Step 2: Find the prime factorization of 8610

8610 = 2 x 3 x 5 x 7 x 41

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

LCM = 37031610 = 2 x 3 x 5 x 7 x 11 x 17 x 23 x 41

Step 4: Therefore, the least common multiple of 8602 and 8610 is 37031610.