Least Common Multiple of 3091 and 3098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3091 and 3098 the smallest integer that is 9575918 that is divisible by both numbers.

Least Common Multiple (LCM) of 3091 and 3098 is 9575918.

LCM(3091,3098) = 9575918

LCM of 3091 and 3098

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

LCM of:
and

Least Common Multiple of 3091 and 3098

LCM of 3091 and 3098 is 9575918

Least common multiple can be found by multiplying the highest exponent prime factors of 3091 and 3098. First we will calculate the prime factors of 3091 and 3098.

Prime Factorization of 3091


11 3091
281 281
1

Prime factors of 3091 are 11,281. Prime factorization of 3091 in exponential form is:

3091 = 111×2811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3091 and 3098.

LCM(3091,3098) = 21×111×2811×15491
LCM(3091,3098) = 9575918

Factors of 3091

List of positive integer factors of 3091 that divides 3091 without a remainder.

1, 11, 281, 3091

Factors of 3098

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

1, 2, 1549, 3098

Least Common Multiple of 3091 and 3098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3091 and 3098, than apply into the LCM equation.

GCF(3091,3098) = 1
LCM(3091,3098) = ( 3091 × 3098) / 1
LCM(3091,3098) = 9575918 / 1
LCM(3091,3098) = 9575918

Properties of LCM 3091 and 3098

(i) The LCM of 3098 and 3091 is associative

LCM of 3091 and 3098 = LCM of 3098 and 3091

Related Least Common Multiples of 3091

Related Least Common Multiples of 3098

Frequently Asked Questions on LCM of 3091 and 3098

1. What is the LCM of 3091 and 3098?

Answer: LCM of 3091 and 3098 is 9575918.

2. What are the Factors of 3091?

Answer: Factors of 3091 are 1, 11, 281, 3091. There are 4 integers that are factors of 3091. The greatest factor of 3091 is 3091.

3. 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.

4. How to Find the LCM of 3091 and 3098?

Answer:

Least Common Multiple of 3091 and 3098 = 9575918

Step 1: Find the prime factorization of 3091

3091 = 11 x 281

Step 2: Find the prime factorization of 3098

3098 = 2 x 1549

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

LCM = 9575918 = 2 x 11 x 281 x 1549

Step 4: Therefore, the least common multiple of 3091 and 3098 is 9575918.