Least Common Multiple of 3101 and 3108

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 3108 the smallest integer that is 1376844 that is divisible by both numbers.

Least Common Multiple (LCM) of 3101 and 3108 is 1376844.

LCM(3101,3108) = 1376844

LCM of 3101 and 3108

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

LCM of:
and

Least Common Multiple of 3101 and 3108

LCM of 3101 and 3108 is 1376844

Least common multiple can be found by multiplying the highest exponent prime factors of 3101 and 3108. First we will calculate the prime factors of 3101 and 3108.

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 3108


2 3108
2 1554
3 777
7 259
37 37
1

Prime factors of 3108 are 2, 3, 7,37. Prime factorization of 3108 in exponential form is:

3108 = 22×31×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3101 and 3108.

LCM(3101,3108) = 22×31×71×371×4431
LCM(3101,3108) = 1376844

Factors of 3101

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

1, 7, 443, 3101

Factors of 3108

List of positive integer factors of 3108 that divides 3108 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108

Least Common Multiple of 3101 and 3108 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 3108, than apply into the LCM equation.

GCF(3101,3108) = 7
LCM(3101,3108) = ( 3101 × 3108) / 7
LCM(3101,3108) = 9637908 / 7
LCM(3101,3108) = 1376844

Properties of LCM 3101 and 3108

(i) The LCM of 3108 and 3101 is associative

LCM of 3101 and 3108 = LCM of 3108 and 3101

Related Least Common Multiples of 3101

Related Least Common Multiples of 3108

Frequently Asked Questions on LCM of 3101 and 3108

1. What is the LCM of 3101 and 3108?

Answer: LCM of 3101 and 3108 is 1376844.

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 3108?

Answer: Factors of 3108 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108. There are 24 integers that are factors of 3108. The greatest factor of 3108 is 3108.

4. How to Find the LCM of 3101 and 3108?

Answer:

Least Common Multiple of 3101 and 3108 = 1376844

Step 1: Find the prime factorization of 3101

3101 = 7 x 443

Step 2: Find the prime factorization of 3108

3108 = 2 x 2 x 3 x 7 x 37

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

LCM = 1376844 = 2 x 2 x 3 x 7 x 37 x 443

Step 4: Therefore, the least common multiple of 3101 and 3108 is 1376844.