Least Common Multiple of 3084 and 3091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3084 and 3091 the smallest integer that is 9532644 that is divisible by both numbers.

Least Common Multiple (LCM) of 3084 and 3091 is 9532644.

LCM(3084,3091) = 9532644

LCM of 3084 and 3091

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

LCM of:
and

Least Common Multiple of 3084 and 3091

LCM of 3084 and 3091 is 9532644

Least common multiple can be found by multiplying the highest exponent prime factors of 3084 and 3091. First we will calculate the prime factors of 3084 and 3091.

Prime Factorization of 3084


2 3084
2 1542
3 771
257 257
1

Prime factors of 3084 are 2, 3,257. Prime factorization of 3084 in exponential form is:

3084 = 22×31×2571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3084 and 3091.

LCM(3084,3091) = 22×31×111×2571×2811
LCM(3084,3091) = 9532644

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084

Factors of 3091

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

1, 11, 281, 3091

Least Common Multiple of 3084 and 3091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3084 and 3091, than apply into the LCM equation.

GCF(3084,3091) = 1
LCM(3084,3091) = ( 3084 × 3091) / 1
LCM(3084,3091) = 9532644 / 1
LCM(3084,3091) = 9532644

Properties of LCM 3084 and 3091

(i) The LCM of 3091 and 3084 is associative

LCM of 3084 and 3091 = LCM of 3091 and 3084

Related Least Common Multiples of 3084

Related Least Common Multiples of 3091

Frequently Asked Questions on LCM of 3084 and 3091

1. What is the LCM of 3084 and 3091?

Answer: LCM of 3084 and 3091 is 9532644.

2. What are the Factors of 3084?

Answer: Factors of 3084 are 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084. There are 12 integers that are factors of 3084. The greatest factor of 3084 is 3084.

3. 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.

4. How to Find the LCM of 3084 and 3091?

Answer:

Least Common Multiple of 3084 and 3091 = 9532644

Step 1: Find the prime factorization of 3084

3084 = 2 x 2 x 3 x 257

Step 2: Find the prime factorization of 3091

3091 = 11 x 281

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

LCM = 9532644 = 2 x 2 x 3 x 11 x 257 x 281

Step 4: Therefore, the least common multiple of 3084 and 3091 is 9532644.