Least Common Multiple of 8599 and 8600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8599 and 8600 the smallest integer that is 73951400 that is divisible by both numbers.

Least Common Multiple (LCM) of 8599 and 8600 is 73951400.

LCM(8599,8600) = 73951400

LCM of 8599 and 8600

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

LCM of:
and

Least Common Multiple of 8599 and 8600

LCM of 8599 and 8600 is 73951400

Least common multiple can be found by multiplying the highest exponent prime factors of 8599 and 8600. First we will calculate the prime factors of 8599 and 8600.

Prime Factorization of 8599


8599 8599
1

Prime factors of 8599 are 8599. Prime factorization of 8599 in exponential form is:

8599 = 85991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8599 and 8600.

LCM(8599,8600) = 23×52×431×85991
LCM(8599,8600) = 73951400

Factors of 8599

List of positive integer factors of 8599 that divides 8599 without a remainder.

1, 8599

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

Least Common Multiple of 8599 and 8600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8599 and 8600, than apply into the LCM equation.

GCF(8599,8600) = 1
LCM(8599,8600) = ( 8599 × 8600) / 1
LCM(8599,8600) = 73951400 / 1
LCM(8599,8600) = 73951400

Properties of LCM 8599 and 8600

(i) The LCM of 8600 and 8599 is associative

LCM of 8599 and 8600 = LCM of 8600 and 8599

Related Least Common Multiples of 8599

Related Least Common Multiples of 8600

Frequently Asked Questions on LCM of 8599 and 8600

1. What is the LCM of 8599 and 8600?

Answer: LCM of 8599 and 8600 is 73951400.

2. What are the Factors of 8599?

Answer: Factors of 8599 are 1, 8599. There are 2 integers that are factors of 8599. The greatest factor of 8599 is 8599.

3. 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.

4. How to Find the LCM of 8599 and 8600?

Answer:

Least Common Multiple of 8599 and 8600 = 73951400

Step 1: Find the prime factorization of 8599

8599 = 8599

Step 2: Find the prime factorization of 8600

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

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

LCM = 73951400 = 2 x 2 x 2 x 5 x 5 x 43 x 8599

Step 4: Therefore, the least common multiple of 8599 and 8600 is 73951400.