Least Common Multiple of 8162 and 8164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8162 and 8164 the smallest integer that is 33317284 that is divisible by both numbers.

Least Common Multiple (LCM) of 8162 and 8164 is 33317284.

LCM(8162,8164) = 33317284

LCM of 8162 and 8164

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

LCM of:
and

Least Common Multiple of 8162 and 8164

LCM of 8162 and 8164 is 33317284

Least common multiple can be found by multiplying the highest exponent prime factors of 8162 and 8164. First we will calculate the prime factors of 8162 and 8164.

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

Prime Factorization of 8164


2 8164
2 4082
13 2041
157 157
1

Prime factors of 8164 are 2, 13,157. Prime factorization of 8164 in exponential form is:

8164 = 22×131×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 8162 and 8164.

LCM(8162,8164) = 22×71×111×131×531×1571
LCM(8162,8164) = 33317284

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

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164

Least Common Multiple of 8162 and 8164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8162 and 8164, than apply into the LCM equation.

GCF(8162,8164) = 2
LCM(8162,8164) = ( 8162 × 8164) / 2
LCM(8162,8164) = 66634568 / 2
LCM(8162,8164) = 33317284

Properties of LCM 8162 and 8164

(i) The LCM of 8164 and 8162 is associative

LCM of 8162 and 8164 = LCM of 8164 and 8162

Related Least Common Multiples of 8162

Related Least Common Multiples of 8164

Frequently Asked Questions on LCM of 8162 and 8164

1. What is the LCM of 8162 and 8164?

Answer: LCM of 8162 and 8164 is 33317284.

2. 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.

3. What are the Factors of 8164?

Answer: Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. There are 12 integers that are factors of 8164. The greatest factor of 8164 is 8164.

4. How to Find the LCM of 8162 and 8164?

Answer:

Least Common Multiple of 8162 and 8164 = 33317284

Step 1: Find the prime factorization of 8162

8162 = 2 x 7 x 11 x 53

Step 2: Find the prime factorization of 8164

8164 = 2 x 2 x 13 x 157

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

LCM = 33317284 = 2 x 2 x 7 x 11 x 13 x 53 x 157

Step 4: Therefore, the least common multiple of 8162 and 8164 is 33317284.