Least Common Multiple of 8168 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 8168 and 8176 the smallest integer that is 8347696 that is divisible by both numbers.

Least Common Multiple (LCM) of 8168 and 8176 is 8347696.

LCM(8168,8176) = 8347696

LCM of 8168 and 8176

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

LCM of:
and

Least Common Multiple of 8168 and 8176

LCM of 8168 and 8176 is 8347696

Least common multiple can be found by multiplying the highest exponent prime factors of 8168 and 8176. First we will calculate the prime factors of 8168 and 8176.

Prime Factorization of 8168


2 8168
2 4084
2 2042
1021 1021
1

Prime factors of 8168 are 2,1021. Prime factorization of 8168 in exponential form is:

8168 = 23×10211

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 8168 and 8176.

LCM(8168,8176) = 24×71×731×10211
LCM(8168,8176) = 8347696

Factors of 8168

List of positive integer factors of 8168 that divides 8168 without a remainder.

1, 2, 4, 8, 1021, 2042, 4084, 8168

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 8168 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 8168 and 8176, than apply into the LCM equation.

GCF(8168,8176) = 8
LCM(8168,8176) = ( 8168 × 8176) / 8
LCM(8168,8176) = 66781568 / 8
LCM(8168,8176) = 8347696

Properties of LCM 8168 and 8176

(i) The LCM of 8176 and 8168 is associative

LCM of 8168 and 8176 = LCM of 8176 and 8168

Related Least Common Multiples of 8168

Related Least Common Multiples of 8176

Frequently Asked Questions on LCM of 8168 and 8176

1. What is the LCM of 8168 and 8176?

Answer: LCM of 8168 and 8176 is 8347696.

2. What are the Factors of 8168?

Answer: Factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168. There are 8 integers that are factors of 8168. The greatest factor of 8168 is 8168.

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 8168 and 8176?

Answer:

Least Common Multiple of 8168 and 8176 = 8347696

Step 1: Find the prime factorization of 8168

8168 = 2 x 2 x 2 x 1021

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 = 8347696 = 2 x 2 x 2 x 2 x 7 x 73 x 1021

Step 4: Therefore, the least common multiple of 8168 and 8176 is 8347696.