Least Common Multiple of 3098 and 3105

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 3105 the smallest integer that is 9619290 that is divisible by both numbers.

Least Common Multiple (LCM) of 3098 and 3105 is 9619290.

LCM(3098,3105) = 9619290

LCM of 3098 and 3105

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

LCM of:
and

Least Common Multiple of 3098 and 3105

LCM of 3098 and 3105 is 9619290

Least common multiple can be found by multiplying the highest exponent prime factors of 3098 and 3105. First we will calculate the prime factors of 3098 and 3105.

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 3105


3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 3105 are 3, 5,23. Prime factorization of 3105 in exponential form is:

3105 = 33×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3098 and 3105.

LCM(3098,3105) = 21×33×51×231×15491
LCM(3098,3105) = 9619290

Factors of 3098

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

1, 2, 1549, 3098

Factors of 3105

List of positive integer factors of 3105 that divides 3105 without a remainder.

1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105

Least Common Multiple of 3098 and 3105 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 3105, than apply into the LCM equation.

GCF(3098,3105) = 1
LCM(3098,3105) = ( 3098 × 3105) / 1
LCM(3098,3105) = 9619290 / 1
LCM(3098,3105) = 9619290

Properties of LCM 3098 and 3105

(i) The LCM of 3105 and 3098 is associative

LCM of 3098 and 3105 = LCM of 3105 and 3098

Related Least Common Multiples of 3098

Related Least Common Multiples of 3105

Frequently Asked Questions on LCM of 3098 and 3105

1. What is the LCM of 3098 and 3105?

Answer: LCM of 3098 and 3105 is 9619290.

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 3105?

Answer: Factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105. There are 16 integers that are factors of 3105. The greatest factor of 3105 is 3105.

4. How to Find the LCM of 3098 and 3105?

Answer:

Least Common Multiple of 3098 and 3105 = 9619290

Step 1: Find the prime factorization of 3098

3098 = 2 x 1549

Step 2: Find the prime factorization of 3105

3105 = 3 x 3 x 3 x 5 x 23

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

LCM = 9619290 = 2 x 3 x 3 x 3 x 5 x 23 x 1549

Step 4: Therefore, the least common multiple of 3098 and 3105 is 9619290.