Least Common Multiple of 8300 and 8306

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 8306 the smallest integer that is 34469900 that is divisible by both numbers.

Least Common Multiple (LCM) of 8300 and 8306 is 34469900.

LCM(8300,8306) = 34469900

LCM of 8300 and 8306

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

LCM of:
and

Least Common Multiple of 8300 and 8306

LCM of 8300 and 8306 is 34469900

Least common multiple can be found by multiplying the highest exponent prime factors of 8300 and 8306. First we will calculate the prime factors of 8300 and 8306.

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 8306


2 8306
4153 4153
1

Prime factors of 8306 are 2,4153. Prime factorization of 8306 in exponential form is:

8306 = 21×41531

Now multiplying the highest exponent prime factors to calculate the LCM of 8300 and 8306.

LCM(8300,8306) = 22×52×831×41531
LCM(8300,8306) = 34469900

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 8306

List of positive integer factors of 8306 that divides 8306 without a remainder.

1, 2, 4153, 8306

Least Common Multiple of 8300 and 8306 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 8306, than apply into the LCM equation.

GCF(8300,8306) = 2
LCM(8300,8306) = ( 8300 × 8306) / 2
LCM(8300,8306) = 68939800 / 2
LCM(8300,8306) = 34469900

Properties of LCM 8300 and 8306

(i) The LCM of 8306 and 8300 is associative

LCM of 8300 and 8306 = LCM of 8306 and 8300

Related Least Common Multiples of 8300

Related Least Common Multiples of 8306

Frequently Asked Questions on LCM of 8300 and 8306

1. What is the LCM of 8300 and 8306?

Answer: LCM of 8300 and 8306 is 34469900.

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 8306?

Answer: Factors of 8306 are 1, 2, 4153, 8306. There are 4 integers that are factors of 8306. The greatest factor of 8306 is 8306.

4. How to Find the LCM of 8300 and 8306?

Answer:

Least Common Multiple of 8300 and 8306 = 34469900

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 8306

8306 = 2 x 4153

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

LCM = 34469900 = 2 x 2 x 5 x 5 x 83 x 4153

Step 4: Therefore, the least common multiple of 8300 and 8306 is 34469900.