Least Common Multiple of 8600 and 8604

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 8604 the smallest integer that is 18498600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8600 and 8604 is 18498600.

LCM(8600,8604) = 18498600

LCM of 8600 and 8604

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

LCM of:
and

Least Common Multiple of 8600 and 8604

LCM of 8600 and 8604 is 18498600

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8604. First we will calculate the prime factors of 8600 and 8604.

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 8604


2 8604
2 4302
3 2151
3 717
239 239
1

Prime factors of 8604 are 2, 3,239. Prime factorization of 8604 in exponential form is:

8604 = 22×32×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 8600 and 8604.

LCM(8600,8604) = 23×32×52×431×2391
LCM(8600,8604) = 18498600

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 8604

List of positive integer factors of 8604 that divides 8604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604

Least Common Multiple of 8600 and 8604 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 8604, than apply into the LCM equation.

GCF(8600,8604) = 4
LCM(8600,8604) = ( 8600 × 8604) / 4
LCM(8600,8604) = 73994400 / 4
LCM(8600,8604) = 18498600

Properties of LCM 8600 and 8604

(i) The LCM of 8604 and 8600 is associative

LCM of 8600 and 8604 = LCM of 8604 and 8600

Related Least Common Multiples of 8600

Related Least Common Multiples of 8604

Frequently Asked Questions on LCM of 8600 and 8604

1. What is the LCM of 8600 and 8604?

Answer: LCM of 8600 and 8604 is 18498600.

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 8604?

Answer: Factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604. There are 18 integers that are factors of 8604. The greatest factor of 8604 is 8604.

4. How to Find the LCM of 8600 and 8604?

Answer:

Least Common Multiple of 8600 and 8604 = 18498600

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 8604

8604 = 2 x 2 x 3 x 3 x 239

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

LCM = 18498600 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 43 x 239

Step 4: Therefore, the least common multiple of 8600 and 8604 is 18498600.