Least Common Multiple of 8168 and 8174

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 8174 the smallest integer that is 33382616 that is divisible by both numbers.

Least Common Multiple (LCM) of 8168 and 8174 is 33382616.

LCM(8168,8174) = 33382616

LCM of 8168 and 8174

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

LCM of:
and

Least Common Multiple of 8168 and 8174

LCM of 8168 and 8174 is 33382616

Least common multiple can be found by multiplying the highest exponent prime factors of 8168 and 8174. First we will calculate the prime factors of 8168 and 8174.

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 8174


2 8174
61 4087
67 67
1

Prime factors of 8174 are 2, 61,67. Prime factorization of 8174 in exponential form is:

8174 = 21×611×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8168 and 8174.

LCM(8168,8174) = 23×611×671×10211
LCM(8168,8174) = 33382616

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 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1, 2, 61, 67, 122, 134, 4087, 8174

Least Common Multiple of 8168 and 8174 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 8174, than apply into the LCM equation.

GCF(8168,8174) = 2
LCM(8168,8174) = ( 8168 × 8174) / 2
LCM(8168,8174) = 66765232 / 2
LCM(8168,8174) = 33382616

Properties of LCM 8168 and 8174

(i) The LCM of 8174 and 8168 is associative

LCM of 8168 and 8174 = LCM of 8174 and 8168

Related Least Common Multiples of 8168

Related Least Common Multiples of 8174

Frequently Asked Questions on LCM of 8168 and 8174

1. What is the LCM of 8168 and 8174?

Answer: LCM of 8168 and 8174 is 33382616.

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 8174?

Answer: Factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174. There are 8 integers that are factors of 8174. The greatest factor of 8174 is 8174.

4. How to Find the LCM of 8168 and 8174?

Answer:

Least Common Multiple of 8168 and 8174 = 33382616

Step 1: Find the prime factorization of 8168

8168 = 2 x 2 x 2 x 1021

Step 2: Find the prime factorization of 8174

8174 = 2 x 61 x 67

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

LCM = 33382616 = 2 x 2 x 2 x 61 x 67 x 1021

Step 4: Therefore, the least common multiple of 8168 and 8174 is 33382616.