Least Common Multiple of 3104 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 3104 and 3111 the smallest integer that is 9656544 that is divisible by both numbers.

Least Common Multiple (LCM) of 3104 and 3111 is 9656544.

LCM(3104,3111) = 9656544

LCM of 3104 and 3111

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

LCM of:
and

Least Common Multiple of 3104 and 3111

LCM of 3104 and 3111 is 9656544

Least common multiple can be found by multiplying the highest exponent prime factors of 3104 and 3111. First we will calculate the prime factors of 3104 and 3111.

Prime Factorization of 3104


2 3104
2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 3104 are 2,97. Prime factorization of 3104 in exponential form is:

3104 = 25×971

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 3104 and 3111.

LCM(3104,3111) = 25×31×171×611×971
LCM(3104,3111) = 9656544

Factors of 3104

List of positive integer factors of 3104 that divides 3104 without a remainder.

1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104

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 3104 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 3104 and 3111, than apply into the LCM equation.

GCF(3104,3111) = 1
LCM(3104,3111) = ( 3104 × 3111) / 1
LCM(3104,3111) = 9656544 / 1
LCM(3104,3111) = 9656544

Properties of LCM 3104 and 3111

(i) The LCM of 3111 and 3104 is associative

LCM of 3104 and 3111 = LCM of 3111 and 3104

Related Least Common Multiples of 3104

Related Least Common Multiples of 3111

Frequently Asked Questions on LCM of 3104 and 3111

1. What is the LCM of 3104 and 3111?

Answer: LCM of 3104 and 3111 is 9656544.

2. What are the Factors of 3104?

Answer: Factors of 3104 are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104. There are 12 integers that are factors of 3104. The greatest factor of 3104 is 3104.

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 3104 and 3111?

Answer:

Least Common Multiple of 3104 and 3111 = 9656544

Step 1: Find the prime factorization of 3104

3104 = 2 x 2 x 2 x 2 x 2 x 97

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 = 9656544 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 61 x 97

Step 4: Therefore, the least common multiple of 3104 and 3111 is 9656544.