Least Common Multiple of 3101 and 3109

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 3109 the smallest integer that is 9641009 that is divisible by both numbers.

Least Common Multiple (LCM) of 3101 and 3109 is 9641009.

LCM(3101,3109) = 9641009

LCM of 3101 and 3109

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

LCM of:
and

Least Common Multiple of 3101 and 3109

LCM of 3101 and 3109 is 9641009

Least common multiple can be found by multiplying the highest exponent prime factors of 3101 and 3109. First we will calculate the prime factors of 3101 and 3109.

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 3109


3109 3109
1

Prime factors of 3109 are 3109. Prime factorization of 3109 in exponential form is:

3109 = 31091

Now multiplying the highest exponent prime factors to calculate the LCM of 3101 and 3109.

LCM(3101,3109) = 71×4431×31091
LCM(3101,3109) = 9641009

Factors of 3101

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

1, 7, 443, 3101

Factors of 3109

List of positive integer factors of 3109 that divides 3109 without a remainder.

1, 3109

Least Common Multiple of 3101 and 3109 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 3109, than apply into the LCM equation.

GCF(3101,3109) = 1
LCM(3101,3109) = ( 3101 × 3109) / 1
LCM(3101,3109) = 9641009 / 1
LCM(3101,3109) = 9641009

Properties of LCM 3101 and 3109

(i) The LCM of 3109 and 3101 is associative

LCM of 3101 and 3109 = LCM of 3109 and 3101

Related Least Common Multiples of 3101

Related Least Common Multiples of 3109

Frequently Asked Questions on LCM of 3101 and 3109

1. What is the LCM of 3101 and 3109?

Answer: LCM of 3101 and 3109 is 9641009.

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 3109?

Answer: Factors of 3109 are 1, 3109. There are 2 integers that are factors of 3109. The greatest factor of 3109 is 3109.

4. How to Find the LCM of 3101 and 3109?

Answer:

Least Common Multiple of 3101 and 3109 = 9641009

Step 1: Find the prime factorization of 3101

3101 = 7 x 443

Step 2: Find the prime factorization of 3109

3109 = 3109

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

LCM = 9641009 = 7 x 443 x 3109

Step 4: Therefore, the least common multiple of 3101 and 3109 is 9641009.