Least Common Multiple of 3098 and 3100

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 3100 the smallest integer that is 4801900 that is divisible by both numbers.

Least Common Multiple (LCM) of 3098 and 3100 is 4801900.

LCM(3098,3100) = 4801900

LCM of 3098 and 3100

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

LCM of:
and

Least Common Multiple of 3098 and 3100

LCM of 3098 and 3100 is 4801900

Least common multiple can be found by multiplying the highest exponent prime factors of 3098 and 3100. First we will calculate the prime factors of 3098 and 3100.

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 3100


2 3100
2 1550
5 775
5 155
31 31
1

Prime factors of 3100 are 2, 5,31. Prime factorization of 3100 in exponential form is:

3100 = 22×52×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3098 and 3100.

LCM(3098,3100) = 22×52×311×15491
LCM(3098,3100) = 4801900

Factors of 3098

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

1, 2, 1549, 3098

Factors of 3100

List of positive integer factors of 3100 that divides 3100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100

Least Common Multiple of 3098 and 3100 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 3100, than apply into the LCM equation.

GCF(3098,3100) = 2
LCM(3098,3100) = ( 3098 × 3100) / 2
LCM(3098,3100) = 9603800 / 2
LCM(3098,3100) = 4801900

Properties of LCM 3098 and 3100

(i) The LCM of 3100 and 3098 is associative

LCM of 3098 and 3100 = LCM of 3100 and 3098

Related Least Common Multiples of 3098

Related Least Common Multiples of 3100

Frequently Asked Questions on LCM of 3098 and 3100

1. What is the LCM of 3098 and 3100?

Answer: LCM of 3098 and 3100 is 4801900.

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 3100?

Answer: Factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100. There are 18 integers that are factors of 3100. The greatest factor of 3100 is 3100.

4. How to Find the LCM of 3098 and 3100?

Answer:

Least Common Multiple of 3098 and 3100 = 4801900

Step 1: Find the prime factorization of 3098

3098 = 2 x 1549

Step 2: Find the prime factorization of 3100

3100 = 2 x 2 x 5 x 5 x 31

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

LCM = 4801900 = 2 x 2 x 5 x 5 x 31 x 1549

Step 4: Therefore, the least common multiple of 3098 and 3100 is 4801900.