Least Common Multiple of 8156 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 8156 and 8162 the smallest integer that is 33284636 that is divisible by both numbers.

Least Common Multiple (LCM) of 8156 and 8162 is 33284636.

LCM(8156,8162) = 33284636

LCM of 8156 and 8162

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

LCM of:
and

Least Common Multiple of 8156 and 8162

LCM of 8156 and 8162 is 33284636

Least common multiple can be found by multiplying the highest exponent prime factors of 8156 and 8162. First we will calculate the prime factors of 8156 and 8162.

Prime Factorization of 8156


2 8156
2 4078
2039 2039
1

Prime factors of 8156 are 2,2039. Prime factorization of 8156 in exponential form is:

8156 = 22×20391

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 8156 and 8162.

LCM(8156,8162) = 22×71×111×531×20391
LCM(8156,8162) = 33284636

Factors of 8156

List of positive integer factors of 8156 that divides 8156 without a remainder.

1, 2, 4, 2039, 4078, 8156

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 8156 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 8156 and 8162, than apply into the LCM equation.

GCF(8156,8162) = 2
LCM(8156,8162) = ( 8156 × 8162) / 2
LCM(8156,8162) = 66569272 / 2
LCM(8156,8162) = 33284636

Properties of LCM 8156 and 8162

(i) The LCM of 8162 and 8156 is associative

LCM of 8156 and 8162 = LCM of 8162 and 8156

Related Least Common Multiples of 8156

Related Least Common Multiples of 8162

Frequently Asked Questions on LCM of 8156 and 8162

1. What is the LCM of 8156 and 8162?

Answer: LCM of 8156 and 8162 is 33284636.

2. What are the Factors of 8156?

Answer: Factors of 8156 are 1, 2, 4, 2039, 4078, 8156. There are 6 integers that are factors of 8156. The greatest factor of 8156 is 8156.

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 8156 and 8162?

Answer:

Least Common Multiple of 8156 and 8162 = 33284636

Step 1: Find the prime factorization of 8156

8156 = 2 x 2 x 2039

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 = 33284636 = 2 x 2 x 7 x 11 x 53 x 2039

Step 4: Therefore, the least common multiple of 8156 and 8162 is 33284636.