Least Common Multiple of 7102 and 7107

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 7107 the smallest integer that is 50473914 that is divisible by both numbers.

Least Common Multiple (LCM) of 7102 and 7107 is 50473914.

LCM(7102,7107) = 50473914

LCM of 7102 and 7107

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

LCM of:
and

Least Common Multiple of 7102 and 7107

LCM of 7102 and 7107 is 50473914

Least common multiple can be found by multiplying the highest exponent prime factors of 7102 and 7107. First we will calculate the prime factors of 7102 and 7107.

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 7107


3 7107
23 2369
103 103
1

Prime factors of 7107 are 3, 23,103. Prime factorization of 7107 in exponential form is:

7107 = 31×231×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7102 and 7107.

LCM(7102,7107) = 21×31×231×531×671×1031
LCM(7102,7107) = 50473914

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 7107

List of positive integer factors of 7107 that divides 7107 without a remainder.

1, 3, 23, 69, 103, 309, 2369, 7107

Least Common Multiple of 7102 and 7107 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 7107, than apply into the LCM equation.

GCF(7102,7107) = 1
LCM(7102,7107) = ( 7102 × 7107) / 1
LCM(7102,7107) = 50473914 / 1
LCM(7102,7107) = 50473914

Properties of LCM 7102 and 7107

(i) The LCM of 7107 and 7102 is associative

LCM of 7102 and 7107 = LCM of 7107 and 7102

Related Least Common Multiples of 7102

Related Least Common Multiples of 7107

Frequently Asked Questions on LCM of 7102 and 7107

1. What is the LCM of 7102 and 7107?

Answer: LCM of 7102 and 7107 is 50473914.

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 7107?

Answer: Factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107. There are 8 integers that are factors of 7107. The greatest factor of 7107 is 7107.

4. How to Find the LCM of 7102 and 7107?

Answer:

Least Common Multiple of 7102 and 7107 = 50473914

Step 1: Find the prime factorization of 7102

7102 = 2 x 53 x 67

Step 2: Find the prime factorization of 7107

7107 = 3 x 23 x 103

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

LCM = 50473914 = 2 x 3 x 23 x 53 x 67 x 103

Step 4: Therefore, the least common multiple of 7102 and 7107 is 50473914.