Least Common Multiple of 8300 and 8307

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 8307 the smallest integer that is 68948100 that is divisible by both numbers.

Least Common Multiple (LCM) of 8300 and 8307 is 68948100.

LCM(8300,8307) = 68948100

LCM of 8300 and 8307

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

LCM of:
and

Least Common Multiple of 8300 and 8307

LCM of 8300 and 8307 is 68948100

Least common multiple can be found by multiplying the highest exponent prime factors of 8300 and 8307. First we will calculate the prime factors of 8300 and 8307.

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 8307


3 8307
3 2769
13 923
71 71
1

Prime factors of 8307 are 3, 13,71. Prime factorization of 8307 in exponential form is:

8307 = 32×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8300 and 8307.

LCM(8300,8307) = 22×32×52×131×711×831
LCM(8300,8307) = 68948100

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 8307

List of positive integer factors of 8307 that divides 8307 without a remainder.

1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307

Least Common Multiple of 8300 and 8307 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 8307, than apply into the LCM equation.

GCF(8300,8307) = 1
LCM(8300,8307) = ( 8300 × 8307) / 1
LCM(8300,8307) = 68948100 / 1
LCM(8300,8307) = 68948100

Properties of LCM 8300 and 8307

(i) The LCM of 8307 and 8300 is associative

LCM of 8300 and 8307 = LCM of 8307 and 8300

Related Least Common Multiples of 8300

Related Least Common Multiples of 8307

Frequently Asked Questions on LCM of 8300 and 8307

1. What is the LCM of 8300 and 8307?

Answer: LCM of 8300 and 8307 is 68948100.

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 8307?

Answer: Factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307. There are 12 integers that are factors of 8307. The greatest factor of 8307 is 8307.

4. How to Find the LCM of 8300 and 8307?

Answer:

Least Common Multiple of 8300 and 8307 = 68948100

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 8307

8307 = 3 x 3 x 13 x 71

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

LCM = 68948100 = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 71 x 83

Step 4: Therefore, the least common multiple of 8300 and 8307 is 68948100.