Least Common Multiple of 8163 and 8167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8163 and 8167 the smallest integer that is 66667221 that is divisible by both numbers.

Least Common Multiple (LCM) of 8163 and 8167 is 66667221.

LCM(8163,8167) = 66667221

LCM of 8163 and 8167

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

LCM of:
and

Least Common Multiple of 8163 and 8167

LCM of 8163 and 8167 is 66667221

Least common multiple can be found by multiplying the highest exponent prime factors of 8163 and 8167. First we will calculate the prime factors of 8163 and 8167.

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

Prime Factorization of 8167


8167 8167
1

Prime factors of 8167 are 8167. Prime factorization of 8167 in exponential form is:

8167 = 81671

Now multiplying the highest exponent prime factors to calculate the LCM of 8163 and 8167.

LCM(8163,8167) = 32×9071×81671
LCM(8163,8167) = 66667221

Factors of 8163

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

1, 3, 9, 907, 2721, 8163

Factors of 8167

List of positive integer factors of 8167 that divides 8167 without a remainder.

1, 8167

Least Common Multiple of 8163 and 8167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8163 and 8167, than apply into the LCM equation.

GCF(8163,8167) = 1
LCM(8163,8167) = ( 8163 × 8167) / 1
LCM(8163,8167) = 66667221 / 1
LCM(8163,8167) = 66667221

Properties of LCM 8163 and 8167

(i) The LCM of 8167 and 8163 is associative

LCM of 8163 and 8167 = LCM of 8167 and 8163

Related Least Common Multiples of 8163

Related Least Common Multiples of 8167

Frequently Asked Questions on LCM of 8163 and 8167

1. What is the LCM of 8163 and 8167?

Answer: LCM of 8163 and 8167 is 66667221.

2. 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.

3. What are the Factors of 8167?

Answer: Factors of 8167 are 1, 8167. There are 2 integers that are factors of 8167. The greatest factor of 8167 is 8167.

4. How to Find the LCM of 8163 and 8167?

Answer:

Least Common Multiple of 8163 and 8167 = 66667221

Step 1: Find the prime factorization of 8163

8163 = 3 x 3 x 907

Step 2: Find the prime factorization of 8167

8167 = 8167

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

LCM = 66667221 = 3 x 3 x 907 x 8167

Step 4: Therefore, the least common multiple of 8163 and 8167 is 66667221.