Least Common Multiple of 8161 and 8163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8161 and 8163 the smallest integer that is 66618243 that is divisible by both numbers.

Least Common Multiple (LCM) of 8161 and 8163 is 66618243.

LCM(8161,8163) = 66618243

LCM of 8161 and 8163

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

LCM of:
and

Least Common Multiple of 8161 and 8163

LCM of 8161 and 8163 is 66618243

Least common multiple can be found by multiplying the highest exponent prime factors of 8161 and 8163. First we will calculate the prime factors of 8161 and 8163.

Prime Factorization of 8161


8161 8161
1

Prime factors of 8161 are 8161. Prime factorization of 8161 in exponential form is:

8161 = 81611

Prime Factorization of 8163


3 8163
3 2721
907 907
1

Prime factors of 8163 are 3,907. Prime factorization of 8163 in exponential form is:

8163 = 32×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 8161 and 8163.

LCM(8161,8163) = 32×9071×81611
LCM(8161,8163) = 66618243

Factors of 8161

List of positive integer factors of 8161 that divides 8161 without a remainder.

1, 8161

Factors of 8163

List of positive integer factors of 8163 that divides 8163 without a remainder.

1, 3, 9, 907, 2721, 8163

Least Common Multiple of 8161 and 8163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8161 and 8163, than apply into the LCM equation.

GCF(8161,8163) = 1
LCM(8161,8163) = ( 8161 × 8163) / 1
LCM(8161,8163) = 66618243 / 1
LCM(8161,8163) = 66618243

Properties of LCM 8161 and 8163

(i) The LCM of 8163 and 8161 is associative

LCM of 8161 and 8163 = LCM of 8163 and 8161

Related Least Common Multiples of 8161

Related Least Common Multiples of 8163

Frequently Asked Questions on LCM of 8161 and 8163

1. What is the LCM of 8161 and 8163?

Answer: LCM of 8161 and 8163 is 66618243.

2. What are the Factors of 8161?

Answer: Factors of 8161 are 1, 8161. There are 2 integers that are factors of 8161. The greatest factor of 8161 is 8161.

3. What are the Factors of 8163?

Answer: Factors of 8163 are 1, 3, 9, 907, 2721, 8163. There are 6 integers that are factors of 8163. The greatest factor of 8163 is 8163.

4. How to Find the LCM of 8161 and 8163?

Answer:

Least Common Multiple of 8161 and 8163 = 66618243

Step 1: Find the prime factorization of 8161

8161 = 8161

Step 2: Find the prime factorization of 8163

8163 = 3 x 3 x 907

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

LCM = 66618243 = 3 x 3 x 907 x 8161

Step 4: Therefore, the least common multiple of 8161 and 8163 is 66618243.