Least Common Multiple of 8300 and 8305

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 8305 the smallest integer that is 13786300 that is divisible by both numbers.

Least Common Multiple (LCM) of 8300 and 8305 is 13786300.

LCM(8300,8305) = 13786300

LCM of 8300 and 8305

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

LCM of:
and

Least Common Multiple of 8300 and 8305

LCM of 8300 and 8305 is 13786300

Least common multiple can be found by multiplying the highest exponent prime factors of 8300 and 8305. First we will calculate the prime factors of 8300 and 8305.

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 8305


5 8305
11 1661
151 151
1

Prime factors of 8305 are 5, 11,151. Prime factorization of 8305 in exponential form is:

8305 = 51×111×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 8300 and 8305.

LCM(8300,8305) = 22×52×111×831×1511
LCM(8300,8305) = 13786300

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 8305

List of positive integer factors of 8305 that divides 8305 without a remainder.

1, 5, 11, 55, 151, 755, 1661, 8305

Least Common Multiple of 8300 and 8305 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 8305, than apply into the LCM equation.

GCF(8300,8305) = 5
LCM(8300,8305) = ( 8300 × 8305) / 5
LCM(8300,8305) = 68931500 / 5
LCM(8300,8305) = 13786300

Properties of LCM 8300 and 8305

(i) The LCM of 8305 and 8300 is associative

LCM of 8300 and 8305 = LCM of 8305 and 8300

Related Least Common Multiples of 8300

Related Least Common Multiples of 8305

Frequently Asked Questions on LCM of 8300 and 8305

1. What is the LCM of 8300 and 8305?

Answer: LCM of 8300 and 8305 is 13786300.

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 8305?

Answer: Factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305. There are 8 integers that are factors of 8305. The greatest factor of 8305 is 8305.

4. How to Find the LCM of 8300 and 8305?

Answer:

Least Common Multiple of 8300 and 8305 = 13786300

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 8305

8305 = 5 x 11 x 151

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

LCM = 13786300 = 2 x 2 x 5 x 5 x 11 x 83 x 151

Step 4: Therefore, the least common multiple of 8300 and 8305 is 13786300.