Least Common Multiple of 8600 and 8605

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 8605 the smallest integer that is 14800600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8600 and 8605 is 14800600.

LCM(8600,8605) = 14800600

LCM of 8600 and 8605

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

LCM of:
and

Least Common Multiple of 8600 and 8605

LCM of 8600 and 8605 is 14800600

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8605. First we will calculate the prime factors of 8600 and 8605.

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 8605


5 8605
1721 1721
1

Prime factors of 8605 are 5,1721. Prime factorization of 8605 in exponential form is:

8605 = 51×17211

Now multiplying the highest exponent prime factors to calculate the LCM of 8600 and 8605.

LCM(8600,8605) = 23×52×431×17211
LCM(8600,8605) = 14800600

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 8605

List of positive integer factors of 8605 that divides 8605 without a remainder.

1, 5, 1721, 8605

Least Common Multiple of 8600 and 8605 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 8605, than apply into the LCM equation.

GCF(8600,8605) = 5
LCM(8600,8605) = ( 8600 × 8605) / 5
LCM(8600,8605) = 74003000 / 5
LCM(8600,8605) = 14800600

Properties of LCM 8600 and 8605

(i) The LCM of 8605 and 8600 is associative

LCM of 8600 and 8605 = LCM of 8605 and 8600

Related Least Common Multiples of 8600

Related Least Common Multiples of 8605

Frequently Asked Questions on LCM of 8600 and 8605

1. What is the LCM of 8600 and 8605?

Answer: LCM of 8600 and 8605 is 14800600.

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 8605?

Answer: Factors of 8605 are 1, 5, 1721, 8605. There are 4 integers that are factors of 8605. The greatest factor of 8605 is 8605.

4. How to Find the LCM of 8600 and 8605?

Answer:

Least Common Multiple of 8600 and 8605 = 14800600

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 8605

8605 = 5 x 1721

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

LCM = 14800600 = 2 x 2 x 2 x 5 x 5 x 43 x 1721

Step 4: Therefore, the least common multiple of 8600 and 8605 is 14800600.