Least Common Multiple of 8158 and 8165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8158 and 8165 the smallest integer that is 66610070 that is divisible by both numbers.

Least Common Multiple (LCM) of 8158 and 8165 is 66610070.

LCM(8158,8165) = 66610070

LCM of 8158 and 8165

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

LCM of:
and

Least Common Multiple of 8158 and 8165

LCM of 8158 and 8165 is 66610070

Least common multiple can be found by multiplying the highest exponent prime factors of 8158 and 8165. First we will calculate the prime factors of 8158 and 8165.

Prime Factorization of 8158


2 8158
4079 4079
1

Prime factors of 8158 are 2,4079. Prime factorization of 8158 in exponential form is:

8158 = 21×40791

Prime Factorization of 8165


5 8165
23 1633
71 71
1

Prime factors of 8165 are 5, 23,71. Prime factorization of 8165 in exponential form is:

8165 = 51×231×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8158 and 8165.

LCM(8158,8165) = 21×51×231×711×40791
LCM(8158,8165) = 66610070

Factors of 8158

List of positive integer factors of 8158 that divides 8158 without a remainder.

1, 2, 4079, 8158

Factors of 8165

List of positive integer factors of 8165 that divides 8165 without a remainder.

1, 5, 23, 71, 115, 355, 1633, 8165

Least Common Multiple of 8158 and 8165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8158 and 8165, than apply into the LCM equation.

GCF(8158,8165) = 1
LCM(8158,8165) = ( 8158 × 8165) / 1
LCM(8158,8165) = 66610070 / 1
LCM(8158,8165) = 66610070

Properties of LCM 8158 and 8165

(i) The LCM of 8165 and 8158 is associative

LCM of 8158 and 8165 = LCM of 8165 and 8158

Related Least Common Multiples of 8158

Related Least Common Multiples of 8165

Frequently Asked Questions on LCM of 8158 and 8165

1. What is the LCM of 8158 and 8165?

Answer: LCM of 8158 and 8165 is 66610070.

2. What are the Factors of 8158?

Answer: Factors of 8158 are 1, 2, 4079, 8158. There are 4 integers that are factors of 8158. The greatest factor of 8158 is 8158.

3. What are the Factors of 8165?

Answer: Factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165. There are 8 integers that are factors of 8165. The greatest factor of 8165 is 8165.

4. How to Find the LCM of 8158 and 8165?

Answer:

Least Common Multiple of 8158 and 8165 = 66610070

Step 1: Find the prime factorization of 8158

8158 = 2 x 4079

Step 2: Find the prime factorization of 8165

8165 = 5 x 23 x 71

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

LCM = 66610070 = 2 x 5 x 23 x 71 x 4079

Step 4: Therefore, the least common multiple of 8158 and 8165 is 66610070.