Least Common Multiple of 3111 and 3115

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 3115 the smallest integer that is 9690765 that is divisible by both numbers.

Least Common Multiple (LCM) of 3111 and 3115 is 9690765.

LCM(3111,3115) = 9690765

LCM of 3111 and 3115

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

LCM of:
and

Least Common Multiple of 3111 and 3115

LCM of 3111 and 3115 is 9690765

Least common multiple can be found by multiplying the highest exponent prime factors of 3111 and 3115. First we will calculate the prime factors of 3111 and 3115.

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 3115


5 3115
7 623
89 89
1

Prime factors of 3115 are 5, 7,89. Prime factorization of 3115 in exponential form is:

3115 = 51×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3111 and 3115.

LCM(3111,3115) = 31×51×71×171×611×891
LCM(3111,3115) = 9690765

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 3115

List of positive integer factors of 3115 that divides 3115 without a remainder.

1, 5, 7, 35, 89, 445, 623, 3115

Least Common Multiple of 3111 and 3115 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 3115, than apply into the LCM equation.

GCF(3111,3115) = 1
LCM(3111,3115) = ( 3111 × 3115) / 1
LCM(3111,3115) = 9690765 / 1
LCM(3111,3115) = 9690765

Properties of LCM 3111 and 3115

(i) The LCM of 3115 and 3111 is associative

LCM of 3111 and 3115 = LCM of 3115 and 3111

Related Least Common Multiples of 3111

Related Least Common Multiples of 3115

Frequently Asked Questions on LCM of 3111 and 3115

1. What is the LCM of 3111 and 3115?

Answer: LCM of 3111 and 3115 is 9690765.

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 3115?

Answer: Factors of 3115 are 1, 5, 7, 35, 89, 445, 623, 3115. There are 8 integers that are factors of 3115. The greatest factor of 3115 is 3115.

4. How to Find the LCM of 3111 and 3115?

Answer:

Least Common Multiple of 3111 and 3115 = 9690765

Step 1: Find the prime factorization of 3111

3111 = 3 x 17 x 61

Step 2: Find the prime factorization of 3115

3115 = 5 x 7 x 89

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

LCM = 9690765 = 3 x 5 x 7 x 17 x 61 x 89

Step 4: Therefore, the least common multiple of 3111 and 3115 is 9690765.