Least Common Multiple of 8158 and 8162

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 8162 the smallest integer that is 33292798 that is divisible by both numbers.

Least Common Multiple (LCM) of 8158 and 8162 is 33292798.

LCM(8158,8162) = 33292798

LCM of 8158 and 8162

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

LCM of:
and

Least Common Multiple of 8158 and 8162

LCM of 8158 and 8162 is 33292798

Least common multiple can be found by multiplying the highest exponent prime factors of 8158 and 8162. First we will calculate the prime factors of 8158 and 8162.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8158 and 8162.

LCM(8158,8162) = 21×71×111×531×40791
LCM(8158,8162) = 33292798

Factors of 8158

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

1, 2, 4079, 8158

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

Least Common Multiple of 8158 and 8162 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 8162, than apply into the LCM equation.

GCF(8158,8162) = 2
LCM(8158,8162) = ( 8158 × 8162) / 2
LCM(8158,8162) = 66585596 / 2
LCM(8158,8162) = 33292798

Properties of LCM 8158 and 8162

(i) The LCM of 8162 and 8158 is associative

LCM of 8158 and 8162 = LCM of 8162 and 8158

Related Least Common Multiples of 8158

Related Least Common Multiples of 8162

Frequently Asked Questions on LCM of 8158 and 8162

1. What is the LCM of 8158 and 8162?

Answer: LCM of 8158 and 8162 is 33292798.

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 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.

4. How to Find the LCM of 8158 and 8162?

Answer:

Least Common Multiple of 8158 and 8162 = 33292798

Step 1: Find the prime factorization of 8158

8158 = 2 x 4079

Step 2: Find the prime factorization of 8162

8162 = 2 x 7 x 11 x 53

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

LCM = 33292798 = 2 x 7 x 11 x 53 x 4079

Step 4: Therefore, the least common multiple of 8158 and 8162 is 33292798.