Least Common Multiple of 8018 and 8022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8018 and 8022 the smallest integer that is 32160198 that is divisible by both numbers.

Least Common Multiple (LCM) of 8018 and 8022 is 32160198.

LCM(8018,8022) = 32160198

LCM of 8018 and 8022

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

LCM of:
and

Least Common Multiple of 8018 and 8022

LCM of 8018 and 8022 is 32160198

Least common multiple can be found by multiplying the highest exponent prime factors of 8018 and 8022. First we will calculate the prime factors of 8018 and 8022.

Prime Factorization of 8018


2 8018
19 4009
211 211
1

Prime factors of 8018 are 2, 19,211. Prime factorization of 8018 in exponential form is:

8018 = 21×191×2111

Prime Factorization of 8022


2 8022
3 4011
7 1337
191 191
1

Prime factors of 8022 are 2, 3, 7,191. Prime factorization of 8022 in exponential form is:

8022 = 21×31×71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 8018 and 8022.

LCM(8018,8022) = 21×31×71×191×1911×2111
LCM(8018,8022) = 32160198

Factors of 8018

List of positive integer factors of 8018 that divides 8018 without a remainder.

1, 2, 19, 38, 211, 422, 4009, 8018

Factors of 8022

List of positive integer factors of 8022 that divides 8022 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022

Least Common Multiple of 8018 and 8022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8018 and 8022, than apply into the LCM equation.

GCF(8018,8022) = 2
LCM(8018,8022) = ( 8018 × 8022) / 2
LCM(8018,8022) = 64320396 / 2
LCM(8018,8022) = 32160198

Properties of LCM 8018 and 8022

(i) The LCM of 8022 and 8018 is associative

LCM of 8018 and 8022 = LCM of 8022 and 8018

Related Least Common Multiples of 8018

Related Least Common Multiples of 8022

Frequently Asked Questions on LCM of 8018 and 8022

1. What is the LCM of 8018 and 8022?

Answer: LCM of 8018 and 8022 is 32160198.

2. What are the Factors of 8018?

Answer: Factors of 8018 are 1, 2, 19, 38, 211, 422, 4009, 8018. There are 8 integers that are factors of 8018. The greatest factor of 8018 is 8018.

3. What are the Factors of 8022?

Answer: Factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022. There are 16 integers that are factors of 8022. The greatest factor of 8022 is 8022.

4. How to Find the LCM of 8018 and 8022?

Answer:

Least Common Multiple of 8018 and 8022 = 32160198

Step 1: Find the prime factorization of 8018

8018 = 2 x 19 x 211

Step 2: Find the prime factorization of 8022

8022 = 2 x 3 x 7 x 191

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

LCM = 32160198 = 2 x 3 x 7 x 19 x 191 x 211

Step 4: Therefore, the least common multiple of 8018 and 8022 is 32160198.