Least Common Multiple of 3091 and 3094

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 3094 the smallest integer that is 9563554 that is divisible by both numbers.

Least Common Multiple (LCM) of 3091 and 3094 is 9563554.

LCM(3091,3094) = 9563554

LCM of 3091 and 3094

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

LCM of:
and

Least Common Multiple of 3091 and 3094

LCM of 3091 and 3094 is 9563554

Least common multiple can be found by multiplying the highest exponent prime factors of 3091 and 3094. First we will calculate the prime factors of 3091 and 3094.

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 3094


2 3094
7 1547
13 221
17 17
1

Prime factors of 3094 are 2, 7, 13,17. Prime factorization of 3094 in exponential form is:

3094 = 21×71×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3091 and 3094.

LCM(3091,3094) = 21×71×111×131×171×2811
LCM(3091,3094) = 9563554

Factors of 3091

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

1, 11, 281, 3091

Factors of 3094

List of positive integer factors of 3094 that divides 3094 without a remainder.

1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094

Least Common Multiple of 3091 and 3094 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 3094, than apply into the LCM equation.

GCF(3091,3094) = 1
LCM(3091,3094) = ( 3091 × 3094) / 1
LCM(3091,3094) = 9563554 / 1
LCM(3091,3094) = 9563554

Properties of LCM 3091 and 3094

(i) The LCM of 3094 and 3091 is associative

LCM of 3091 and 3094 = LCM of 3094 and 3091

Related Least Common Multiples of 3091

Related Least Common Multiples of 3094

Frequently Asked Questions on LCM of 3091 and 3094

1. What is the LCM of 3091 and 3094?

Answer: LCM of 3091 and 3094 is 9563554.

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 3094?

Answer: Factors of 3094 are 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094. There are 16 integers that are factors of 3094. The greatest factor of 3094 is 3094.

4. How to Find the LCM of 3091 and 3094?

Answer:

Least Common Multiple of 3091 and 3094 = 9563554

Step 1: Find the prime factorization of 3091

3091 = 11 x 281

Step 2: Find the prime factorization of 3094

3094 = 2 x 7 x 13 x 17

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

LCM = 9563554 = 2 x 7 x 11 x 13 x 17 x 281

Step 4: Therefore, the least common multiple of 3091 and 3094 is 9563554.