Least Common Multiple of 8300 and 8304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8300 and 8304 the smallest integer that is 17230800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8300 and 8304 is 17230800.

LCM(8300,8304) = 17230800

LCM of 8300 and 8304

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

LCM of:
and

Least Common Multiple of 8300 and 8304

LCM of 8300 and 8304 is 17230800

Least common multiple can be found by multiplying the highest exponent prime factors of 8300 and 8304. First we will calculate the prime factors of 8300 and 8304.

Prime Factorization of 8300


2 8300
2 4150
5 2075
5 415
83 83
1

Prime factors of 8300 are 2, 5,83. Prime factorization of 8300 in exponential form is:

8300 = 22×52×831

Prime Factorization of 8304


2 8304
2 4152
2 2076
2 1038
3 519
173 173
1

Prime factors of 8304 are 2, 3,173. Prime factorization of 8304 in exponential form is:

8304 = 24×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8300 and 8304.

LCM(8300,8304) = 24×31×52×831×1731
LCM(8300,8304) = 17230800

Factors of 8300

List of positive integer factors of 8300 that divides 8300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304

Least Common Multiple of 8300 and 8304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8300 and 8304, than apply into the LCM equation.

GCF(8300,8304) = 4
LCM(8300,8304) = ( 8300 × 8304) / 4
LCM(8300,8304) = 68923200 / 4
LCM(8300,8304) = 17230800

Properties of LCM 8300 and 8304

(i) The LCM of 8304 and 8300 is associative

LCM of 8300 and 8304 = LCM of 8304 and 8300

Related Least Common Multiples of 8300

Related Least Common Multiples of 8304

Frequently Asked Questions on LCM of 8300 and 8304

1. What is the LCM of 8300 and 8304?

Answer: LCM of 8300 and 8304 is 17230800.

2. What are the Factors of 8300?

Answer: Factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300. There are 18 integers that are factors of 8300. The greatest factor of 8300 is 8300.

3. What are the Factors of 8304?

Answer: Factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304. There are 20 integers that are factors of 8304. The greatest factor of 8304 is 8304.

4. How to Find the LCM of 8300 and 8304?

Answer:

Least Common Multiple of 8300 and 8304 = 17230800

Step 1: Find the prime factorization of 8300

8300 = 2 x 2 x 5 x 5 x 83

Step 2: Find the prime factorization of 8304

8304 = 2 x 2 x 2 x 2 x 3 x 173

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

LCM = 17230800 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 83 x 173

Step 4: Therefore, the least common multiple of 8300 and 8304 is 17230800.