Least Common Multiple of 8602 and 8606

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 8606 the smallest integer that is 37014406 that is divisible by both numbers.

Least Common Multiple (LCM) of 8602 and 8606 is 37014406.

LCM(8602,8606) = 37014406

LCM of 8602 and 8606

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

LCM of:
and

Least Common Multiple of 8602 and 8606

LCM of 8602 and 8606 is 37014406

Least common multiple can be found by multiplying the highest exponent prime factors of 8602 and 8606. First we will calculate the prime factors of 8602 and 8606.

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 8606


2 8606
13 4303
331 331
1

Prime factors of 8606 are 2, 13,331. Prime factorization of 8606 in exponential form is:

8606 = 21×131×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 8602 and 8606.

LCM(8602,8606) = 21×111×131×171×231×3311
LCM(8602,8606) = 37014406

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 8606

List of positive integer factors of 8606 that divides 8606 without a remainder.

1, 2, 13, 26, 331, 662, 4303, 8606

Least Common Multiple of 8602 and 8606 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 8606, than apply into the LCM equation.

GCF(8602,8606) = 2
LCM(8602,8606) = ( 8602 × 8606) / 2
LCM(8602,8606) = 74028812 / 2
LCM(8602,8606) = 37014406

Properties of LCM 8602 and 8606

(i) The LCM of 8606 and 8602 is associative

LCM of 8602 and 8606 = LCM of 8606 and 8602

Related Least Common Multiples of 8602

Related Least Common Multiples of 8606

Frequently Asked Questions on LCM of 8602 and 8606

1. What is the LCM of 8602 and 8606?

Answer: LCM of 8602 and 8606 is 37014406.

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 8606?

Answer: Factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606. There are 8 integers that are factors of 8606. The greatest factor of 8606 is 8606.

4. How to Find the LCM of 8602 and 8606?

Answer:

Least Common Multiple of 8602 and 8606 = 37014406

Step 1: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

Step 2: Find the prime factorization of 8606

8606 = 2 x 13 x 331

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

LCM = 37014406 = 2 x 11 x 13 x 17 x 23 x 331

Step 4: Therefore, the least common multiple of 8602 and 8606 is 37014406.