Least Common Multiple of 2016 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 2016 and 2022 the smallest integer that is 679392 that is divisible by both numbers.

Least Common Multiple (LCM) of 2016 and 2022 is 679392.

LCM(2016,2022) = 679392

LCM of 2016 and 2022

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

LCM of:
and

Least Common Multiple of 2016 and 2022

LCM of 2016 and 2022 is 679392

Least common multiple can be found by multiplying the highest exponent prime factors of 2016 and 2022. First we will calculate the prime factors of 2016 and 2022.

Prime Factorization of 2016


2 2016
2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 2016 are 2, 3,7. Prime factorization of 2016 in exponential form is:

2016 = 25×32×71

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 2016 and 2022.

LCM(2016,2022) = 25×32×71×3371
LCM(2016,2022) = 679392

Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016

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 2016 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 2016 and 2022, than apply into the LCM equation.

GCF(2016,2022) = 6
LCM(2016,2022) = ( 2016 × 2022) / 6
LCM(2016,2022) = 4076352 / 6
LCM(2016,2022) = 679392

Properties of LCM 2016 and 2022

(i) The LCM of 2022 and 2016 is associative

LCM of 2016 and 2022 = LCM of 2022 and 2016

Related Least Common Multiples of 2016

Related Least Common Multiples of 2022

Frequently Asked Questions on LCM of 2016 and 2022

1. What is the LCM of 2016 and 2022?

Answer: LCM of 2016 and 2022 is 679392.

2. What are the Factors of 2016?

Answer: Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016. There are 36 integers that are factors of 2016. The greatest factor of 2016 is 2016.

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 2016 and 2022?

Answer:

Least Common Multiple of 2016 and 2022 = 679392

Step 1: Find the prime factorization of 2016

2016 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

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 = 679392 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 337

Step 4: Therefore, the least common multiple of 2016 and 2022 is 679392.