Least Common Multiple of 7109 and 7115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7109 and 7115 the smallest integer that is 50580535 that is divisible by both numbers.

Least Common Multiple (LCM) of 7109 and 7115 is 50580535.

LCM(7109,7115) = 50580535

LCM of 7109 and 7115

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

LCM of:
and

Least Common Multiple of 7109 and 7115

LCM of 7109 and 7115 is 50580535

Least common multiple can be found by multiplying the highest exponent prime factors of 7109 and 7115. First we will calculate the prime factors of 7109 and 7115.

Prime Factorization of 7109


7109 7109
1

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

7109 = 71091

Prime Factorization of 7115


5 7115
1423 1423
1

Prime factors of 7115 are 5,1423. Prime factorization of 7115 in exponential form is:

7115 = 51×14231

Now multiplying the highest exponent prime factors to calculate the LCM of 7109 and 7115.

LCM(7109,7115) = 51×14231×71091
LCM(7109,7115) = 50580535

Factors of 7109

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

1, 7109

Factors of 7115

List of positive integer factors of 7115 that divides 7115 without a remainder.

1, 5, 1423, 7115

Least Common Multiple of 7109 and 7115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7109 and 7115, than apply into the LCM equation.

GCF(7109,7115) = 1
LCM(7109,7115) = ( 7109 × 7115) / 1
LCM(7109,7115) = 50580535 / 1
LCM(7109,7115) = 50580535

Properties of LCM 7109 and 7115

(i) The LCM of 7115 and 7109 is associative

LCM of 7109 and 7115 = LCM of 7115 and 7109

Related Least Common Multiples of 7109

Related Least Common Multiples of 7115

Frequently Asked Questions on LCM of 7109 and 7115

1. What is the LCM of 7109 and 7115?

Answer: LCM of 7109 and 7115 is 50580535.

2. 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.

3. What are the Factors of 7115?

Answer: Factors of 7115 are 1, 5, 1423, 7115. There are 4 integers that are factors of 7115. The greatest factor of 7115 is 7115.

4. How to Find the LCM of 7109 and 7115?

Answer:

Least Common Multiple of 7109 and 7115 = 50580535

Step 1: Find the prime factorization of 7109

7109 = 7109

Step 2: Find the prime factorization of 7115

7115 = 5 x 1423

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

LCM = 50580535 = 5 x 1423 x 7109

Step 4: Therefore, the least common multiple of 7109 and 7115 is 50580535.