Least Common Multiple of 8163 and 8169

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 8169 the smallest integer that is 22227849 that is divisible by both numbers.

Least Common Multiple (LCM) of 8163 and 8169 is 22227849.

LCM(8163,8169) = 22227849

LCM of 8163 and 8169

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

LCM of:
and

Least Common Multiple of 8163 and 8169

LCM of 8163 and 8169 is 22227849

Least common multiple can be found by multiplying the highest exponent prime factors of 8163 and 8169. First we will calculate the prime factors of 8163 and 8169.

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 8169


3 8169
7 2723
389 389
1

Prime factors of 8169 are 3, 7,389. Prime factorization of 8169 in exponential form is:

8169 = 31×71×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 8163 and 8169.

LCM(8163,8169) = 32×71×3891×9071
LCM(8163,8169) = 22227849

Factors of 8163

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

1, 3, 9, 907, 2721, 8163

Factors of 8169

List of positive integer factors of 8169 that divides 8169 without a remainder.

1, 3, 7, 21, 389, 1167, 2723, 8169

Least Common Multiple of 8163 and 8169 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 8169, than apply into the LCM equation.

GCF(8163,8169) = 3
LCM(8163,8169) = ( 8163 × 8169) / 3
LCM(8163,8169) = 66683547 / 3
LCM(8163,8169) = 22227849

Properties of LCM 8163 and 8169

(i) The LCM of 8169 and 8163 is associative

LCM of 8163 and 8169 = LCM of 8169 and 8163

Frequently Asked Questions on LCM of 8163 and 8169

1. What is the LCM of 8163 and 8169?

Answer: LCM of 8163 and 8169 is 22227849.

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 8169?

Answer: Factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169. There are 8 integers that are factors of 8169. The greatest factor of 8169 is 8169.

4. How to Find the LCM of 8163 and 8169?

Answer:

Least Common Multiple of 8163 and 8169 = 22227849

Step 1: Find the prime factorization of 8163

8163 = 3 x 3 x 907

Step 2: Find the prime factorization of 8169

8169 = 3 x 7 x 389

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

LCM = 22227849 = 3 x 3 x 7 x 389 x 907

Step 4: Therefore, the least common multiple of 8163 and 8169 is 22227849.