Least Common Multiple of 8173 and 8181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8173 and 8181 the smallest integer that is 66863313 that is divisible by both numbers.

Least Common Multiple (LCM) of 8173 and 8181 is 66863313.

LCM(8173,8181) = 66863313

LCM of 8173 and 8181

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

LCM of:
and

Least Common Multiple of 8173 and 8181

LCM of 8173 and 8181 is 66863313

Least common multiple can be found by multiplying the highest exponent prime factors of 8173 and 8181. First we will calculate the prime factors of 8173 and 8181.

Prime Factorization of 8173


11 8173
743 743
1

Prime factors of 8173 are 11,743. Prime factorization of 8173 in exponential form is:

8173 = 111×7431

Prime Factorization of 8181


3 8181
3 2727
3 909
3 303
101 101
1

Prime factors of 8181 are 3,101. Prime factorization of 8181 in exponential form is:

8181 = 34×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8173 and 8181.

LCM(8173,8181) = 34×111×1011×7431
LCM(8173,8181) = 66863313

Factors of 8173

List of positive integer factors of 8173 that divides 8173 without a remainder.

1, 11, 743, 8173

Factors of 8181

List of positive integer factors of 8181 that divides 8181 without a remainder.

1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181

Least Common Multiple of 8173 and 8181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8173 and 8181, than apply into the LCM equation.

GCF(8173,8181) = 1
LCM(8173,8181) = ( 8173 × 8181) / 1
LCM(8173,8181) = 66863313 / 1
LCM(8173,8181) = 66863313

Properties of LCM 8173 and 8181

(i) The LCM of 8181 and 8173 is associative

LCM of 8173 and 8181 = LCM of 8181 and 8173

Related Least Common Multiples of 8173

Related Least Common Multiples of 8181

Frequently Asked Questions on LCM of 8173 and 8181

1. What is the LCM of 8173 and 8181?

Answer: LCM of 8173 and 8181 is 66863313.

2. What are the Factors of 8173?

Answer: Factors of 8173 are 1, 11, 743, 8173. There are 4 integers that are factors of 8173. The greatest factor of 8173 is 8173.

3. What are the Factors of 8181?

Answer: Factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181. There are 10 integers that are factors of 8181. The greatest factor of 8181 is 8181.

4. How to Find the LCM of 8173 and 8181?

Answer:

Least Common Multiple of 8173 and 8181 = 66863313

Step 1: Find the prime factorization of 8173

8173 = 11 x 743

Step 2: Find the prime factorization of 8181

8181 = 3 x 3 x 3 x 3 x 101

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

LCM = 66863313 = 3 x 3 x 3 x 3 x 11 x 101 x 743

Step 4: Therefore, the least common multiple of 8173 and 8181 is 66863313.