Least Common Multiple of 8169 and 8176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8169 and 8176 the smallest integer that is 9541392 that is divisible by both numbers.

Least Common Multiple (LCM) of 8169 and 8176 is 9541392.

LCM(8169,8176) = 9541392

LCM of 8169 and 8176

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

LCM of:
and

Least Common Multiple of 8169 and 8176

LCM of 8169 and 8176 is 9541392

Least common multiple can be found by multiplying the highest exponent prime factors of 8169 and 8176. First we will calculate the prime factors of 8169 and 8176.

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

Prime Factorization of 8176


2 8176
2 4088
2 2044
2 1022
7 511
73 73
1

Prime factors of 8176 are 2, 7,73. Prime factorization of 8176 in exponential form is:

8176 = 24×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8169 and 8176.

LCM(8169,8176) = 24×31×71×731×3891
LCM(8169,8176) = 9541392

Factors of 8169

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

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

Factors of 8176

List of positive integer factors of 8176 that divides 8176 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176

Least Common Multiple of 8169 and 8176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8169 and 8176, than apply into the LCM equation.

GCF(8169,8176) = 7
LCM(8169,8176) = ( 8169 × 8176) / 7
LCM(8169,8176) = 66789744 / 7
LCM(8169,8176) = 9541392

Properties of LCM 8169 and 8176

(i) The LCM of 8176 and 8169 is associative

LCM of 8169 and 8176 = LCM of 8176 and 8169

Related Least Common Multiples of 8169

Related Least Common Multiples of 8176

Frequently Asked Questions on LCM of 8169 and 8176

1. What is the LCM of 8169 and 8176?

Answer: LCM of 8169 and 8176 is 9541392.

2. 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.

3. What are the Factors of 8176?

Answer: Factors of 8176 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176. There are 20 integers that are factors of 8176. The greatest factor of 8176 is 8176.

4. How to Find the LCM of 8169 and 8176?

Answer:

Least Common Multiple of 8169 and 8176 = 9541392

Step 1: Find the prime factorization of 8169

8169 = 3 x 7 x 389

Step 2: Find the prime factorization of 8176

8176 = 2 x 2 x 2 x 2 x 7 x 73

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

LCM = 9541392 = 2 x 2 x 2 x 2 x 3 x 7 x 73 x 389

Step 4: Therefore, the least common multiple of 8169 and 8176 is 9541392.