Least Common Multiple of 8155 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 8155 and 8162 the smallest integer that is 9508730 that is divisible by both numbers.

Least Common Multiple (LCM) of 8155 and 8162 is 9508730.

LCM(8155,8162) = 9508730

LCM of 8155 and 8162

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

LCM of:
and

Least Common Multiple of 8155 and 8162

LCM of 8155 and 8162 is 9508730

Least common multiple can be found by multiplying the highest exponent prime factors of 8155 and 8162. First we will calculate the prime factors of 8155 and 8162.

Prime Factorization of 8155


5 8155
7 1631
233 233
1

Prime factors of 8155 are 5, 7,233. Prime factorization of 8155 in exponential form is:

8155 = 51×71×2331

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 8155 and 8162.

LCM(8155,8162) = 21×51×71×111×531×2331
LCM(8155,8162) = 9508730

Factors of 8155

List of positive integer factors of 8155 that divides 8155 without a remainder.

1, 5, 7, 35, 233, 1165, 1631, 8155

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 8155 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 8155 and 8162, than apply into the LCM equation.

GCF(8155,8162) = 7
LCM(8155,8162) = ( 8155 × 8162) / 7
LCM(8155,8162) = 66561110 / 7
LCM(8155,8162) = 9508730

Properties of LCM 8155 and 8162

(i) The LCM of 8162 and 8155 is associative

LCM of 8155 and 8162 = LCM of 8162 and 8155

Related Least Common Multiples of 8155

Related Least Common Multiples of 8162

Frequently Asked Questions on LCM of 8155 and 8162

1. What is the LCM of 8155 and 8162?

Answer: LCM of 8155 and 8162 is 9508730.

2. What are the Factors of 8155?

Answer: Factors of 8155 are 1, 5, 7, 35, 233, 1165, 1631, 8155. There are 8 integers that are factors of 8155. The greatest factor of 8155 is 8155.

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 8155 and 8162?

Answer:

Least Common Multiple of 8155 and 8162 = 9508730

Step 1: Find the prime factorization of 8155

8155 = 5 x 7 x 233

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 = 9508730 = 2 x 5 x 7 x 11 x 53 x 233

Step 4: Therefore, the least common multiple of 8155 and 8162 is 9508730.