Least Common Multiple of 7102 and 7108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7102 and 7108 the smallest integer that is 25240508 that is divisible by both numbers.

Least Common Multiple (LCM) of 7102 and 7108 is 25240508.

LCM(7102,7108) = 25240508

LCM of 7102 and 7108

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

LCM of:
and

Least Common Multiple of 7102 and 7108

LCM of 7102 and 7108 is 25240508

Least common multiple can be found by multiplying the highest exponent prime factors of 7102 and 7108. First we will calculate the prime factors of 7102 and 7108.

Prime Factorization of 7102


2 7102
53 3551
67 67
1

Prime factors of 7102 are 2, 53,67. Prime factorization of 7102 in exponential form is:

7102 = 21×531×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7102 and 7108.

LCM(7102,7108) = 22×531×671×17771
LCM(7102,7108) = 25240508

Factors of 7102

List of positive integer factors of 7102 that divides 7102 without a remainder.

1, 2, 53, 67, 106, 134, 3551, 7102

Factors of 7108

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

1, 2, 4, 1777, 3554, 7108

Least Common Multiple of 7102 and 7108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7102 and 7108, than apply into the LCM equation.

GCF(7102,7108) = 2
LCM(7102,7108) = ( 7102 × 7108) / 2
LCM(7102,7108) = 50481016 / 2
LCM(7102,7108) = 25240508

Properties of LCM 7102 and 7108

(i) The LCM of 7108 and 7102 is associative

LCM of 7102 and 7108 = LCM of 7108 and 7102

Related Least Common Multiples of 7102

Related Least Common Multiples of 7108

Frequently Asked Questions on LCM of 7102 and 7108

1. What is the LCM of 7102 and 7108?

Answer: LCM of 7102 and 7108 is 25240508.

2. What are the Factors of 7102?

Answer: Factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102. There are 8 integers that are factors of 7102. The greatest factor of 7102 is 7102.

3. 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.

4. How to Find the LCM of 7102 and 7108?

Answer:

Least Common Multiple of 7102 and 7108 = 25240508

Step 1: Find the prime factorization of 7102

7102 = 2 x 53 x 67

Step 2: Find the prime factorization of 7108

7108 = 2 x 2 x 1777

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

LCM = 25240508 = 2 x 2 x 53 x 67 x 1777

Step 4: Therefore, the least common multiple of 7102 and 7108 is 25240508.