Least Common Multiple of 8600 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 8600 and 8606 the smallest integer that is 37005800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8600 and 8606 is 37005800.

LCM(8600,8606) = 37005800

LCM of 8600 and 8606

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

LCM of:
and

Least Common Multiple of 8600 and 8606

LCM of 8600 and 8606 is 37005800

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8606. First we will calculate the prime factors of 8600 and 8606.

Prime Factorization of 8600


2 8600
2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 8600 are 2, 5,43. Prime factorization of 8600 in exponential form is:

8600 = 23×52×431

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 8600 and 8606.

LCM(8600,8606) = 23×52×131×431×3311
LCM(8600,8606) = 37005800

Factors of 8600

List of positive integer factors of 8600 that divides 8600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600

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 8600 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 8600 and 8606, than apply into the LCM equation.

GCF(8600,8606) = 2
LCM(8600,8606) = ( 8600 × 8606) / 2
LCM(8600,8606) = 74011600 / 2
LCM(8600,8606) = 37005800

Properties of LCM 8600 and 8606

(i) The LCM of 8606 and 8600 is associative

LCM of 8600 and 8606 = LCM of 8606 and 8600

Related Least Common Multiples of 8600

Related Least Common Multiples of 8606

Frequently Asked Questions on LCM of 8600 and 8606

1. What is the LCM of 8600 and 8606?

Answer: LCM of 8600 and 8606 is 37005800.

2. What are the Factors of 8600?

Answer: Factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600. There are 24 integers that are factors of 8600. The greatest factor of 8600 is 8600.

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 8600 and 8606?

Answer:

Least Common Multiple of 8600 and 8606 = 37005800

Step 1: Find the prime factorization of 8600

8600 = 2 x 2 x 2 x 5 x 5 x 43

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 = 37005800 = 2 x 2 x 2 x 5 x 5 x 13 x 43 x 331

Step 4: Therefore, the least common multiple of 8600 and 8606 is 37005800.