Least Common Multiple of 8300 and 8308

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 8308 the smallest integer that is 17239100 that is divisible by both numbers.

Least Common Multiple (LCM) of 8300 and 8308 is 17239100.

LCM(8300,8308) = 17239100

LCM of 8300 and 8308

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

LCM of:
and

Least Common Multiple of 8300 and 8308

LCM of 8300 and 8308 is 17239100

Least common multiple can be found by multiplying the highest exponent prime factors of 8300 and 8308. First we will calculate the prime factors of 8300 and 8308.

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 8308


2 8308
2 4154
31 2077
67 67
1

Prime factors of 8308 are 2, 31,67. Prime factorization of 8308 in exponential form is:

8308 = 22×311×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8300 and 8308.

LCM(8300,8308) = 22×52×311×671×831
LCM(8300,8308) = 17239100

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 8308

List of positive integer factors of 8308 that divides 8308 without a remainder.

1, 2, 4, 31, 62, 67, 124, 134, 268, 2077, 4154, 8308

Least Common Multiple of 8300 and 8308 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 8308, than apply into the LCM equation.

GCF(8300,8308) = 4
LCM(8300,8308) = ( 8300 × 8308) / 4
LCM(8300,8308) = 68956400 / 4
LCM(8300,8308) = 17239100

Properties of LCM 8300 and 8308

(i) The LCM of 8308 and 8300 is associative

LCM of 8300 and 8308 = LCM of 8308 and 8300

Related Least Common Multiples of 8300

Related Least Common Multiples of 8308

Frequently Asked Questions on LCM of 8300 and 8308

1. What is the LCM of 8300 and 8308?

Answer: LCM of 8300 and 8308 is 17239100.

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 8308?

Answer: Factors of 8308 are 1, 2, 4, 31, 62, 67, 124, 134, 268, 2077, 4154, 8308. There are 12 integers that are factors of 8308. The greatest factor of 8308 is 8308.

4. How to Find the LCM of 8300 and 8308?

Answer:

Least Common Multiple of 8300 and 8308 = 17239100

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 8308

8308 = 2 x 2 x 31 x 67

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

LCM = 17239100 = 2 x 2 x 5 x 5 x 31 x 67 x 83

Step 4: Therefore, the least common multiple of 8300 and 8308 is 17239100.