Least Common Multiple of 3091 and 3096

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 3096 the smallest integer that is 9569736 that is divisible by both numbers.

Least Common Multiple (LCM) of 3091 and 3096 is 9569736.

LCM(3091,3096) = 9569736

LCM of 3091 and 3096

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

LCM of:
and

Least Common Multiple of 3091 and 3096

LCM of 3091 and 3096 is 9569736

Least common multiple can be found by multiplying the highest exponent prime factors of 3091 and 3096. First we will calculate the prime factors of 3091 and 3096.

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 3096


2 3096
2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 3096 are 2, 3,43. Prime factorization of 3096 in exponential form is:

3096 = 23×32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3091 and 3096.

LCM(3091,3096) = 23×32×111×431×2811
LCM(3091,3096) = 9569736

Factors of 3091

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

1, 11, 281, 3091

Factors of 3096

List of positive integer factors of 3096 that divides 3096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096

Least Common Multiple of 3091 and 3096 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 3096, than apply into the LCM equation.

GCF(3091,3096) = 1
LCM(3091,3096) = ( 3091 × 3096) / 1
LCM(3091,3096) = 9569736 / 1
LCM(3091,3096) = 9569736

Properties of LCM 3091 and 3096

(i) The LCM of 3096 and 3091 is associative

LCM of 3091 and 3096 = LCM of 3096 and 3091

Related Least Common Multiples of 3091

Related Least Common Multiples of 3096

Frequently Asked Questions on LCM of 3091 and 3096

1. What is the LCM of 3091 and 3096?

Answer: LCM of 3091 and 3096 is 9569736.

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 3096?

Answer: Factors of 3096 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096. There are 24 integers that are factors of 3096. The greatest factor of 3096 is 3096.

4. How to Find the LCM of 3091 and 3096?

Answer:

Least Common Multiple of 3091 and 3096 = 9569736

Step 1: Find the prime factorization of 3091

3091 = 11 x 281

Step 2: Find the prime factorization of 3096

3096 = 2 x 2 x 2 x 3 x 3 x 43

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

LCM = 9569736 = 2 x 2 x 2 x 3 x 3 x 11 x 43 x 281

Step 4: Therefore, the least common multiple of 3091 and 3096 is 9569736.