Least Common Multiple of 8300 and 8301

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 8301 the smallest integer that is 68898300 that is divisible by both numbers.

Least Common Multiple (LCM) of 8300 and 8301 is 68898300.

LCM(8300,8301) = 68898300

LCM of 8300 and 8301

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

LCM of:
and

Least Common Multiple of 8300 and 8301

LCM of 8300 and 8301 is 68898300

Least common multiple can be found by multiplying the highest exponent prime factors of 8300 and 8301. First we will calculate the prime factors of 8300 and 8301.

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 8301


3 8301
2767 2767
1

Prime factors of 8301 are 3,2767. Prime factorization of 8301 in exponential form is:

8301 = 31×27671

Now multiplying the highest exponent prime factors to calculate the LCM of 8300 and 8301.

LCM(8300,8301) = 22×31×52×831×27671
LCM(8300,8301) = 68898300

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 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1, 3, 2767, 8301

Least Common Multiple of 8300 and 8301 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 8301, than apply into the LCM equation.

GCF(8300,8301) = 1
LCM(8300,8301) = ( 8300 × 8301) / 1
LCM(8300,8301) = 68898300 / 1
LCM(8300,8301) = 68898300

Properties of LCM 8300 and 8301

(i) The LCM of 8301 and 8300 is associative

LCM of 8300 and 8301 = LCM of 8301 and 8300

Related Least Common Multiples of 8300

Related Least Common Multiples of 8301

Frequently Asked Questions on LCM of 8300 and 8301

1. What is the LCM of 8300 and 8301?

Answer: LCM of 8300 and 8301 is 68898300.

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 8301?

Answer: Factors of 8301 are 1, 3, 2767, 8301. There are 4 integers that are factors of 8301. The greatest factor of 8301 is 8301.

4. How to Find the LCM of 8300 and 8301?

Answer:

Least Common Multiple of 8300 and 8301 = 68898300

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 8301

8301 = 3 x 2767

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

LCM = 68898300 = 2 x 2 x 3 x 5 x 5 x 83 x 2767

Step 4: Therefore, the least common multiple of 8300 and 8301 is 68898300.