Least Common Multiple of 3096 and 3101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3096 and 3101 the smallest integer that is 9600696 that is divisible by both numbers.

Least Common Multiple (LCM) of 3096 and 3101 is 9600696.

LCM(3096,3101) = 9600696

LCM of 3096 and 3101

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

LCM of:
and

Least Common Multiple of 3096 and 3101

LCM of 3096 and 3101 is 9600696

Least common multiple can be found by multiplying the highest exponent prime factors of 3096 and 3101. First we will calculate the prime factors of 3096 and 3101.

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

Prime Factorization of 3101


7 3101
443 443
1

Prime factors of 3101 are 7,443. Prime factorization of 3101 in exponential form is:

3101 = 71×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 3096 and 3101.

LCM(3096,3101) = 23×32×71×431×4431
LCM(3096,3101) = 9600696

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

Factors of 3101

List of positive integer factors of 3101 that divides 3101 without a remainder.

1, 7, 443, 3101

Least Common Multiple of 3096 and 3101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3096 and 3101, than apply into the LCM equation.

GCF(3096,3101) = 1
LCM(3096,3101) = ( 3096 × 3101) / 1
LCM(3096,3101) = 9600696 / 1
LCM(3096,3101) = 9600696

Properties of LCM 3096 and 3101

(i) The LCM of 3101 and 3096 is associative

LCM of 3096 and 3101 = LCM of 3101 and 3096

Related Least Common Multiples of 3096

Related Least Common Multiples of 3101

Frequently Asked Questions on LCM of 3096 and 3101

1. What is the LCM of 3096 and 3101?

Answer: LCM of 3096 and 3101 is 9600696.

2. 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.

3. What are the Factors of 3101?

Answer: Factors of 3101 are 1, 7, 443, 3101. There are 4 integers that are factors of 3101. The greatest factor of 3101 is 3101.

4. How to Find the LCM of 3096 and 3101?

Answer:

Least Common Multiple of 3096 and 3101 = 9600696

Step 1: Find the prime factorization of 3096

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

Step 2: Find the prime factorization of 3101

3101 = 7 x 443

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

LCM = 9600696 = 2 x 2 x 2 x 3 x 3 x 7 x 43 x 443

Step 4: Therefore, the least common multiple of 3096 and 3101 is 9600696.