Least Common Multiple of 3106 and 3111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3106 and 3111 the smallest integer that is 9662766 that is divisible by both numbers.

Least Common Multiple (LCM) of 3106 and 3111 is 9662766.

LCM(3106,3111) = 9662766

LCM of 3106 and 3111

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

LCM of:
and

Least Common Multiple of 3106 and 3111

LCM of 3106 and 3111 is 9662766

Least common multiple can be found by multiplying the highest exponent prime factors of 3106 and 3111. First we will calculate the prime factors of 3106 and 3111.

Prime Factorization of 3106


2 3106
1553 1553
1

Prime factors of 3106 are 2,1553. Prime factorization of 3106 in exponential form is:

3106 = 21×15531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3106 and 3111.

LCM(3106,3111) = 21×31×171×611×15531
LCM(3106,3111) = 9662766

Factors of 3106

List of positive integer factors of 3106 that divides 3106 without a remainder.

1, 2, 1553, 3106

Factors of 3111

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

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

Least Common Multiple of 3106 and 3111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3106 and 3111, than apply into the LCM equation.

GCF(3106,3111) = 1
LCM(3106,3111) = ( 3106 × 3111) / 1
LCM(3106,3111) = 9662766 / 1
LCM(3106,3111) = 9662766

Properties of LCM 3106 and 3111

(i) The LCM of 3111 and 3106 is associative

LCM of 3106 and 3111 = LCM of 3111 and 3106

Related Least Common Multiples of 3106

Related Least Common Multiples of 3111

Frequently Asked Questions on LCM of 3106 and 3111

1. What is the LCM of 3106 and 3111?

Answer: LCM of 3106 and 3111 is 9662766.

2. What are the Factors of 3106?

Answer: Factors of 3106 are 1, 2, 1553, 3106. There are 4 integers that are factors of 3106. The greatest factor of 3106 is 3106.

3. 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.

4. How to Find the LCM of 3106 and 3111?

Answer:

Least Common Multiple of 3106 and 3111 = 9662766

Step 1: Find the prime factorization of 3106

3106 = 2 x 1553

Step 2: Find the prime factorization of 3111

3111 = 3 x 17 x 61

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

LCM = 9662766 = 2 x 3 x 17 x 61 x 1553

Step 4: Therefore, the least common multiple of 3106 and 3111 is 9662766.