Least Common Multiple of 7102 and 7109

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 7109 the smallest integer that is 50488118 that is divisible by both numbers.

Least Common Multiple (LCM) of 7102 and 7109 is 50488118.

LCM(7102,7109) = 50488118

LCM of 7102 and 7109

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

LCM of:
and

Least Common Multiple of 7102 and 7109

LCM of 7102 and 7109 is 50488118

Least common multiple can be found by multiplying the highest exponent prime factors of 7102 and 7109. First we will calculate the prime factors of 7102 and 7109.

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 7109


7109 7109
1

Prime factors of 7109 are 7109. Prime factorization of 7109 in exponential form is:

7109 = 71091

Now multiplying the highest exponent prime factors to calculate the LCM of 7102 and 7109.

LCM(7102,7109) = 21×531×671×71091
LCM(7102,7109) = 50488118

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 7109

List of positive integer factors of 7109 that divides 7109 without a remainder.

1, 7109

Least Common Multiple of 7102 and 7109 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 7109, than apply into the LCM equation.

GCF(7102,7109) = 1
LCM(7102,7109) = ( 7102 × 7109) / 1
LCM(7102,7109) = 50488118 / 1
LCM(7102,7109) = 50488118

Properties of LCM 7102 and 7109

(i) The LCM of 7109 and 7102 is associative

LCM of 7102 and 7109 = LCM of 7109 and 7102

Related Least Common Multiples of 7102

Related Least Common Multiples of 7109

Frequently Asked Questions on LCM of 7102 and 7109

1. What is the LCM of 7102 and 7109?

Answer: LCM of 7102 and 7109 is 50488118.

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 7109?

Answer: Factors of 7109 are 1, 7109. There are 2 integers that are factors of 7109. The greatest factor of 7109 is 7109.

4. How to Find the LCM of 7102 and 7109?

Answer:

Least Common Multiple of 7102 and 7109 = 50488118

Step 1: Find the prime factorization of 7102

7102 = 2 x 53 x 67

Step 2: Find the prime factorization of 7109

7109 = 7109

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

LCM = 50488118 = 2 x 53 x 67 x 7109

Step 4: Therefore, the least common multiple of 7102 and 7109 is 50488118.