Least Common Multiple of 3104 and 3110

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 3110 the smallest integer that is 4826720 that is divisible by both numbers.

Least Common Multiple (LCM) of 3104 and 3110 is 4826720.

LCM(3104,3110) = 4826720

LCM of 3104 and 3110

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

LCM of:
and

Least Common Multiple of 3104 and 3110

LCM of 3104 and 3110 is 4826720

Least common multiple can be found by multiplying the highest exponent prime factors of 3104 and 3110. First we will calculate the prime factors of 3104 and 3110.

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 3110


2 3110
5 1555
311 311
1

Prime factors of 3110 are 2, 5,311. Prime factorization of 3110 in exponential form is:

3110 = 21×51×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 3104 and 3110.

LCM(3104,3110) = 25×51×971×3111
LCM(3104,3110) = 4826720

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 3110

List of positive integer factors of 3110 that divides 3110 without a remainder.

1, 2, 5, 10, 311, 622, 1555, 3110

Least Common Multiple of 3104 and 3110 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 3110, than apply into the LCM equation.

GCF(3104,3110) = 2
LCM(3104,3110) = ( 3104 × 3110) / 2
LCM(3104,3110) = 9653440 / 2
LCM(3104,3110) = 4826720

Properties of LCM 3104 and 3110

(i) The LCM of 3110 and 3104 is associative

LCM of 3104 and 3110 = LCM of 3110 and 3104

Related Least Common Multiples of 3104

Related Least Common Multiples of 3110

Frequently Asked Questions on LCM of 3104 and 3110

1. What is the LCM of 3104 and 3110?

Answer: LCM of 3104 and 3110 is 4826720.

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 3110?

Answer: Factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110. There are 8 integers that are factors of 3110. The greatest factor of 3110 is 3110.

4. How to Find the LCM of 3104 and 3110?

Answer:

Least Common Multiple of 3104 and 3110 = 4826720

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 3110

3110 = 2 x 5 x 311

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

LCM = 4826720 = 2 x 2 x 2 x 2 x 2 x 5 x 97 x 311

Step 4: Therefore, the least common multiple of 3104 and 3110 is 4826720.