Least Common Multiple of 3111 and 3116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3111 and 3116 the smallest integer that is 9693876 that is divisible by both numbers.

Least Common Multiple (LCM) of 3111 and 3116 is 9693876.

LCM(3111,3116) = 9693876

LCM of 3111 and 3116

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

LCM of:
and

Least Common Multiple of 3111 and 3116

LCM of 3111 and 3116 is 9693876

Least common multiple can be found by multiplying the highest exponent prime factors of 3111 and 3116. First we will calculate the prime factors of 3111 and 3116.

Prime Factorization of 3111


3 3111
17 1037
61 61
1

Prime factors of 3111 are 3, 17,61. Prime factorization of 3111 in exponential form is:

3111 = 31×171×611

Prime Factorization of 3116


2 3116
2 1558
19 779
41 41
1

Prime factors of 3116 are 2, 19,41. Prime factorization of 3116 in exponential form is:

3116 = 22×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3111 and 3116.

LCM(3111,3116) = 22×31×171×191×411×611
LCM(3111,3116) = 9693876

Factors of 3111

List of positive integer factors of 3111 that divides 3111 without a remainder.

1, 3, 17, 51, 61, 183, 1037, 3111

Factors of 3116

List of positive integer factors of 3116 that divides 3116 without a remainder.

1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116

Least Common Multiple of 3111 and 3116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3111 and 3116, than apply into the LCM equation.

GCF(3111,3116) = 1
LCM(3111,3116) = ( 3111 × 3116) / 1
LCM(3111,3116) = 9693876 / 1
LCM(3111,3116) = 9693876

Properties of LCM 3111 and 3116

(i) The LCM of 3116 and 3111 is associative

LCM of 3111 and 3116 = LCM of 3116 and 3111

Related Least Common Multiples of 3111

Related Least Common Multiples of 3116

Frequently Asked Questions on LCM of 3111 and 3116

1. What is the LCM of 3111 and 3116?

Answer: LCM of 3111 and 3116 is 9693876.

2. What are the Factors of 3111?

Answer: Factors of 3111 are 1, 3, 17, 51, 61, 183, 1037, 3111. There are 8 integers that are factors of 3111. The greatest factor of 3111 is 3111.

3. What are the Factors of 3116?

Answer: Factors of 3116 are 1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116. There are 12 integers that are factors of 3116. The greatest factor of 3116 is 3116.

4. How to Find the LCM of 3111 and 3116?

Answer:

Least Common Multiple of 3111 and 3116 = 9693876

Step 1: Find the prime factorization of 3111

3111 = 3 x 17 x 61

Step 2: Find the prime factorization of 3116

3116 = 2 x 2 x 19 x 41

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

LCM = 9693876 = 2 x 2 x 3 x 17 x 19 x 41 x 61

Step 4: Therefore, the least common multiple of 3111 and 3116 is 9693876.