Least Common Multiple of 7108 and 7116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7108 and 7116 the smallest integer that is 12645132 that is divisible by both numbers.

Least Common Multiple (LCM) of 7108 and 7116 is 12645132.

LCM(7108,7116) = 12645132

LCM of 7108 and 7116

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

LCM of:
and

Least Common Multiple of 7108 and 7116

LCM of 7108 and 7116 is 12645132

Least common multiple can be found by multiplying the highest exponent prime factors of 7108 and 7116. First we will calculate the prime factors of 7108 and 7116.

Prime Factorization of 7108


2 7108
2 3554
1777 1777
1

Prime factors of 7108 are 2,1777. Prime factorization of 7108 in exponential form is:

7108 = 22×17771

Prime Factorization of 7116


2 7116
2 3558
3 1779
593 593
1

Prime factors of 7116 are 2, 3,593. Prime factorization of 7116 in exponential form is:

7116 = 22×31×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 7108 and 7116.

LCM(7108,7116) = 22×31×5931×17771
LCM(7108,7116) = 12645132

Factors of 7108

List of positive integer factors of 7108 that divides 7108 without a remainder.

1, 2, 4, 1777, 3554, 7108

Factors of 7116

List of positive integer factors of 7116 that divides 7116 without a remainder.

1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116

Least Common Multiple of 7108 and 7116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7108 and 7116, than apply into the LCM equation.

GCF(7108,7116) = 4
LCM(7108,7116) = ( 7108 × 7116) / 4
LCM(7108,7116) = 50580528 / 4
LCM(7108,7116) = 12645132

Properties of LCM 7108 and 7116

(i) The LCM of 7116 and 7108 is associative

LCM of 7108 and 7116 = LCM of 7116 and 7108

Related Least Common Multiples of 7108

Related Least Common Multiples of 7116

Frequently Asked Questions on LCM of 7108 and 7116

1. What is the LCM of 7108 and 7116?

Answer: LCM of 7108 and 7116 is 12645132.

2. What are the Factors of 7108?

Answer: Factors of 7108 are 1, 2, 4, 1777, 3554, 7108. There are 6 integers that are factors of 7108. The greatest factor of 7108 is 7108.

3. What are the Factors of 7116?

Answer: Factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116. There are 12 integers that are factors of 7116. The greatest factor of 7116 is 7116.

4. How to Find the LCM of 7108 and 7116?

Answer:

Least Common Multiple of 7108 and 7116 = 12645132

Step 1: Find the prime factorization of 7108

7108 = 2 x 2 x 1777

Step 2: Find the prime factorization of 7116

7116 = 2 x 2 x 3 x 593

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

LCM = 12645132 = 2 x 2 x 3 x 593 x 1777

Step 4: Therefore, the least common multiple of 7108 and 7116 is 12645132.