Least Common Multiple of 2011 and 2016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2011 and 2016 the smallest integer that is 4054176 that is divisible by both numbers.

Least Common Multiple (LCM) of 2011 and 2016 is 4054176.

LCM(2011,2016) = 4054176

LCM of 2011 and 2016

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

LCM of:
and

Least Common Multiple of 2011 and 2016

LCM of 2011 and 2016 is 4054176

Least common multiple can be found by multiplying the highest exponent prime factors of 2011 and 2016. First we will calculate the prime factors of 2011 and 2016.

Prime Factorization of 2011


2011 2011
1

Prime factors of 2011 are 2011. Prime factorization of 2011 in exponential form is:

2011 = 20111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2011 and 2016.

LCM(2011,2016) = 25×32×71×20111
LCM(2011,2016) = 4054176

Factors of 2011

List of positive integer factors of 2011 that divides 2011 without a remainder.

1, 2011

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

Least Common Multiple of 2011 and 2016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2011 and 2016, than apply into the LCM equation.

GCF(2011,2016) = 1
LCM(2011,2016) = ( 2011 × 2016) / 1
LCM(2011,2016) = 4054176 / 1
LCM(2011,2016) = 4054176

Properties of LCM 2011 and 2016

(i) The LCM of 2016 and 2011 is associative

LCM of 2011 and 2016 = LCM of 2016 and 2011

Related Least Common Multiples of 2011

Related Least Common Multiples of 2016

Frequently Asked Questions on LCM of 2011 and 2016

1. What is the LCM of 2011 and 2016?

Answer: LCM of 2011 and 2016 is 4054176.

2. What are the Factors of 2011?

Answer: Factors of 2011 are 1, 2011. There are 2 integers that are factors of 2011. The greatest factor of 2011 is 2011.

3. 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.

4. How to Find the LCM of 2011 and 2016?

Answer:

Least Common Multiple of 2011 and 2016 = 4054176

Step 1: Find the prime factorization of 2011

2011 = 2011

Step 2: Find the prime factorization of 2016

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

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

LCM = 4054176 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 2011

Step 4: Therefore, the least common multiple of 2011 and 2016 is 4054176.