Least Common Multiple of 8600 and 8608

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 8608 the smallest integer that is 9253600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8600 and 8608 is 9253600.

LCM(8600,8608) = 9253600

LCM of 8600 and 8608

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

LCM of:
and

Least Common Multiple of 8600 and 8608

LCM of 8600 and 8608 is 9253600

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8608. First we will calculate the prime factors of 8600 and 8608.

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 8608


2 8608
2 4304
2 2152
2 1076
2 538
269 269
1

Prime factors of 8608 are 2,269. Prime factorization of 8608 in exponential form is:

8608 = 25×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 8600 and 8608.

LCM(8600,8608) = 25×52×431×2691
LCM(8600,8608) = 9253600

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 8608

List of positive integer factors of 8608 that divides 8608 without a remainder.

1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608

Least Common Multiple of 8600 and 8608 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 8608, than apply into the LCM equation.

GCF(8600,8608) = 8
LCM(8600,8608) = ( 8600 × 8608) / 8
LCM(8600,8608) = 74028800 / 8
LCM(8600,8608) = 9253600

Properties of LCM 8600 and 8608

(i) The LCM of 8608 and 8600 is associative

LCM of 8600 and 8608 = LCM of 8608 and 8600

Related Least Common Multiples of 8600

Related Least Common Multiples of 8608

Frequently Asked Questions on LCM of 8600 and 8608

1. What is the LCM of 8600 and 8608?

Answer: LCM of 8600 and 8608 is 9253600.

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 8608?

Answer: Factors of 8608 are 1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608. There are 12 integers that are factors of 8608. The greatest factor of 8608 is 8608.

4. How to Find the LCM of 8600 and 8608?

Answer:

Least Common Multiple of 8600 and 8608 = 9253600

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 8608

8608 = 2 x 2 x 2 x 2 x 2 x 269

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

LCM = 9253600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 43 x 269

Step 4: Therefore, the least common multiple of 8600 and 8608 is 9253600.