Least Common Multiple of 2014 and 2022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2014 and 2022 the smallest integer that is 2036154 that is divisible by both numbers.

Least Common Multiple (LCM) of 2014 and 2022 is 2036154.

LCM(2014,2022) = 2036154

LCM of 2014 and 2022

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

LCM of:
and

Least Common Multiple of 2014 and 2022

LCM of 2014 and 2022 is 2036154

Least common multiple can be found by multiplying the highest exponent prime factors of 2014 and 2022. First we will calculate the prime factors of 2014 and 2022.

Prime Factorization of 2014


2 2014
19 1007
53 53
1

Prime factors of 2014 are 2, 19,53. Prime factorization of 2014 in exponential form is:

2014 = 21×191×531

Prime Factorization of 2022


2 2022
3 1011
337 337
1

Prime factors of 2022 are 2, 3,337. Prime factorization of 2022 in exponential form is:

2022 = 21×31×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 2014 and 2022.

LCM(2014,2022) = 21×31×191×531×3371
LCM(2014,2022) = 2036154

Factors of 2014

List of positive integer factors of 2014 that divides 2014 without a remainder.

1, 2, 19, 38, 53, 106, 1007, 2014

Factors of 2022

List of positive integer factors of 2022 that divides 2022 without a remainder.

1, 2, 3, 6, 337, 674, 1011, 2022

Least Common Multiple of 2014 and 2022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2014 and 2022, than apply into the LCM equation.

GCF(2014,2022) = 2
LCM(2014,2022) = ( 2014 × 2022) / 2
LCM(2014,2022) = 4072308 / 2
LCM(2014,2022) = 2036154

Properties of LCM 2014 and 2022

(i) The LCM of 2022 and 2014 is associative

LCM of 2014 and 2022 = LCM of 2022 and 2014

Related Least Common Multiples of 2014

Related Least Common Multiples of 2022

Frequently Asked Questions on LCM of 2014 and 2022

1. What is the LCM of 2014 and 2022?

Answer: LCM of 2014 and 2022 is 2036154.

2. What are the Factors of 2014?

Answer: Factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014. There are 8 integers that are factors of 2014. The greatest factor of 2014 is 2014.

3. What are the Factors of 2022?

Answer: Factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022. There are 8 integers that are factors of 2022. The greatest factor of 2022 is 2022.

4. How to Find the LCM of 2014 and 2022?

Answer:

Least Common Multiple of 2014 and 2022 = 2036154

Step 1: Find the prime factorization of 2014

2014 = 2 x 19 x 53

Step 2: Find the prime factorization of 2022

2022 = 2 x 3 x 337

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

LCM = 2036154 = 2 x 3 x 19 x 53 x 337

Step 4: Therefore, the least common multiple of 2014 and 2022 is 2036154.