Least Common Multiple of 3101 and 3107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3101 and 3107 the smallest integer that is 9634807 that is divisible by both numbers.

Least Common Multiple (LCM) of 3101 and 3107 is 9634807.

LCM(3101,3107) = 9634807

LCM of 3101 and 3107

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

LCM of:
and

Least Common Multiple of 3101 and 3107

LCM of 3101 and 3107 is 9634807

Least common multiple can be found by multiplying the highest exponent prime factors of 3101 and 3107. First we will calculate the prime factors of 3101 and 3107.

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

Prime Factorization of 3107


13 3107
239 239
1

Prime factors of 3107 are 13,239. Prime factorization of 3107 in exponential form is:

3107 = 131×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 3101 and 3107.

LCM(3101,3107) = 71×131×2391×4431
LCM(3101,3107) = 9634807

Factors of 3101

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

1, 7, 443, 3101

Factors of 3107

List of positive integer factors of 3107 that divides 3107 without a remainder.

1, 13, 239, 3107

Least Common Multiple of 3101 and 3107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3101 and 3107, than apply into the LCM equation.

GCF(3101,3107) = 1
LCM(3101,3107) = ( 3101 × 3107) / 1
LCM(3101,3107) = 9634807 / 1
LCM(3101,3107) = 9634807

Properties of LCM 3101 and 3107

(i) The LCM of 3107 and 3101 is associative

LCM of 3101 and 3107 = LCM of 3107 and 3101

Related Least Common Multiples of 3101

Related Least Common Multiples of 3107

Frequently Asked Questions on LCM of 3101 and 3107

1. What is the LCM of 3101 and 3107?

Answer: LCM of 3101 and 3107 is 9634807.

2. 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.

3. What are the Factors of 3107?

Answer: Factors of 3107 are 1, 13, 239, 3107. There are 4 integers that are factors of 3107. The greatest factor of 3107 is 3107.

4. How to Find the LCM of 3101 and 3107?

Answer:

Least Common Multiple of 3101 and 3107 = 9634807

Step 1: Find the prime factorization of 3101

3101 = 7 x 443

Step 2: Find the prime factorization of 3107

3107 = 13 x 239

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

LCM = 9634807 = 7 x 13 x 239 x 443

Step 4: Therefore, the least common multiple of 3101 and 3107 is 9634807.