Least Common Multiple of 8162 and 8168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8162 and 8168 the smallest integer that is 33333608 that is divisible by both numbers.

Least Common Multiple (LCM) of 8162 and 8168 is 33333608.

LCM(8162,8168) = 33333608

LCM of 8162 and 8168

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

LCM of:
and

Least Common Multiple of 8162 and 8168

LCM of 8162 and 8168 is 33333608

Least common multiple can be found by multiplying the highest exponent prime factors of 8162 and 8168. First we will calculate the prime factors of 8162 and 8168.

Prime Factorization of 8162


2 8162
7 4081
11 583
53 53
1

Prime factors of 8162 are 2, 7, 11,53. Prime factorization of 8162 in exponential form is:

8162 = 21×71×111×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8162 and 8168.

LCM(8162,8168) = 23×71×111×531×10211
LCM(8162,8168) = 33333608

Factors of 8162

List of positive integer factors of 8162 that divides 8162 without a remainder.

1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162

Factors of 8168

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

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

Least Common Multiple of 8162 and 8168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8162 and 8168, than apply into the LCM equation.

GCF(8162,8168) = 2
LCM(8162,8168) = ( 8162 × 8168) / 2
LCM(8162,8168) = 66667216 / 2
LCM(8162,8168) = 33333608

Properties of LCM 8162 and 8168

(i) The LCM of 8168 and 8162 is associative

LCM of 8162 and 8168 = LCM of 8168 and 8162

Related Least Common Multiples of 8162

Related Least Common Multiples of 8168

Frequently Asked Questions on LCM of 8162 and 8168

1. What is the LCM of 8162 and 8168?

Answer: LCM of 8162 and 8168 is 33333608.

2. What are the Factors of 8162?

Answer: Factors of 8162 are 1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162. There are 16 integers that are factors of 8162. The greatest factor of 8162 is 8162.

3. 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.

4. How to Find the LCM of 8162 and 8168?

Answer:

Least Common Multiple of 8162 and 8168 = 33333608

Step 1: Find the prime factorization of 8162

8162 = 2 x 7 x 11 x 53

Step 2: Find the prime factorization of 8168

8168 = 2 x 2 x 2 x 1021

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

LCM = 33333608 = 2 x 2 x 2 x 7 x 11 x 53 x 1021

Step 4: Therefore, the least common multiple of 8162 and 8168 is 33333608.