Least Common Multiple of 8168 and 8175

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 8175 the smallest integer that is 66773400 that is divisible by both numbers.

Least Common Multiple (LCM) of 8168 and 8175 is 66773400.

LCM(8168,8175) = 66773400

LCM of 8168 and 8175

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

LCM of:
and

Least Common Multiple of 8168 and 8175

LCM of 8168 and 8175 is 66773400

Least common multiple can be found by multiplying the highest exponent prime factors of 8168 and 8175. First we will calculate the prime factors of 8168 and 8175.

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 8175


3 8175
5 2725
5 545
109 109
1

Prime factors of 8175 are 3, 5,109. Prime factorization of 8175 in exponential form is:

8175 = 31×52×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 8168 and 8175.

LCM(8168,8175) = 23×31×52×1091×10211
LCM(8168,8175) = 66773400

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 8175

List of positive integer factors of 8175 that divides 8175 without a remainder.

1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175

Least Common Multiple of 8168 and 8175 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 8175, than apply into the LCM equation.

GCF(8168,8175) = 1
LCM(8168,8175) = ( 8168 × 8175) / 1
LCM(8168,8175) = 66773400 / 1
LCM(8168,8175) = 66773400

Properties of LCM 8168 and 8175

(i) The LCM of 8175 and 8168 is associative

LCM of 8168 and 8175 = LCM of 8175 and 8168

Related Least Common Multiples of 8168

Related Least Common Multiples of 8175

Frequently Asked Questions on LCM of 8168 and 8175

1. What is the LCM of 8168 and 8175?

Answer: LCM of 8168 and 8175 is 66773400.

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 8175?

Answer: Factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175. There are 12 integers that are factors of 8175. The greatest factor of 8175 is 8175.

4. How to Find the LCM of 8168 and 8175?

Answer:

Least Common Multiple of 8168 and 8175 = 66773400

Step 1: Find the prime factorization of 8168

8168 = 2 x 2 x 2 x 1021

Step 2: Find the prime factorization of 8175

8175 = 3 x 5 x 5 x 109

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

LCM = 66773400 = 2 x 2 x 2 x 3 x 5 x 5 x 109 x 1021

Step 4: Therefore, the least common multiple of 8168 and 8175 is 66773400.