Least Common Multiple of 7108 and 7114

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 7114 the smallest integer that is 25283156 that is divisible by both numbers.

Least Common Multiple (LCM) of 7108 and 7114 is 25283156.

LCM(7108,7114) = 25283156

LCM of 7108 and 7114

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

LCM of:
and

Least Common Multiple of 7108 and 7114

LCM of 7108 and 7114 is 25283156

Least common multiple can be found by multiplying the highest exponent prime factors of 7108 and 7114. First we will calculate the prime factors of 7108 and 7114.

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 7114


2 7114
3557 3557
1

Prime factors of 7114 are 2,3557. Prime factorization of 7114 in exponential form is:

7114 = 21×35571

Now multiplying the highest exponent prime factors to calculate the LCM of 7108 and 7114.

LCM(7108,7114) = 22×17771×35571
LCM(7108,7114) = 25283156

Factors of 7108

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

1, 2, 4, 1777, 3554, 7108

Factors of 7114

List of positive integer factors of 7114 that divides 7114 without a remainder.

1, 2, 3557, 7114

Least Common Multiple of 7108 and 7114 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 7114, than apply into the LCM equation.

GCF(7108,7114) = 2
LCM(7108,7114) = ( 7108 × 7114) / 2
LCM(7108,7114) = 50566312 / 2
LCM(7108,7114) = 25283156

Properties of LCM 7108 and 7114

(i) The LCM of 7114 and 7108 is associative

LCM of 7108 and 7114 = LCM of 7114 and 7108

Related Least Common Multiples of 7108

Related Least Common Multiples of 7114

Frequently Asked Questions on LCM of 7108 and 7114

1. What is the LCM of 7108 and 7114?

Answer: LCM of 7108 and 7114 is 25283156.

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 7114?

Answer: Factors of 7114 are 1, 2, 3557, 7114. There are 4 integers that are factors of 7114. The greatest factor of 7114 is 7114.

4. How to Find the LCM of 7108 and 7114?

Answer:

Least Common Multiple of 7108 and 7114 = 25283156

Step 1: Find the prime factorization of 7108

7108 = 2 x 2 x 1777

Step 2: Find the prime factorization of 7114

7114 = 2 x 3557

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

LCM = 25283156 = 2 x 2 x 1777 x 3557

Step 4: Therefore, the least common multiple of 7108 and 7114 is 25283156.