Least Common Multiple of 3098 and 3104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3098 and 3104 the smallest integer that is 4808096 that is divisible by both numbers.

Least Common Multiple (LCM) of 3098 and 3104 is 4808096.

LCM(3098,3104) = 4808096

LCM of 3098 and 3104

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

LCM of:
and

Least Common Multiple of 3098 and 3104

LCM of 3098 and 3104 is 4808096

Least common multiple can be found by multiplying the highest exponent prime factors of 3098 and 3104. First we will calculate the prime factors of 3098 and 3104.

Prime Factorization of 3098


2 3098
1549 1549
1

Prime factors of 3098 are 2,1549. Prime factorization of 3098 in exponential form is:

3098 = 21×15491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3098 and 3104.

LCM(3098,3104) = 25×971×15491
LCM(3098,3104) = 4808096

Factors of 3098

List of positive integer factors of 3098 that divides 3098 without a remainder.

1, 2, 1549, 3098

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

Least Common Multiple of 3098 and 3104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3098 and 3104, than apply into the LCM equation.

GCF(3098,3104) = 2
LCM(3098,3104) = ( 3098 × 3104) / 2
LCM(3098,3104) = 9616192 / 2
LCM(3098,3104) = 4808096

Properties of LCM 3098 and 3104

(i) The LCM of 3104 and 3098 is associative

LCM of 3098 and 3104 = LCM of 3104 and 3098

Related Least Common Multiples of 3098

Related Least Common Multiples of 3104

Frequently Asked Questions on LCM of 3098 and 3104

1. What is the LCM of 3098 and 3104?

Answer: LCM of 3098 and 3104 is 4808096.

2. What are the Factors of 3098?

Answer: Factors of 3098 are 1, 2, 1549, 3098. There are 4 integers that are factors of 3098. The greatest factor of 3098 is 3098.

3. 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.

4. How to Find the LCM of 3098 and 3104?

Answer:

Least Common Multiple of 3098 and 3104 = 4808096

Step 1: Find the prime factorization of 3098

3098 = 2 x 1549

Step 2: Find the prime factorization of 3104

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

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

LCM = 4808096 = 2 x 2 x 2 x 2 x 2 x 97 x 1549

Step 4: Therefore, the least common multiple of 3098 and 3104 is 4808096.