Least Common Multiple of 7116 and 7121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7116 and 7121 the smallest integer that is 50673036 that is divisible by both numbers.

Least Common Multiple (LCM) of 7116 and 7121 is 50673036.

LCM(7116,7121) = 50673036

LCM of 7116 and 7121

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

LCM of:
and

Least Common Multiple of 7116 and 7121

LCM of 7116 and 7121 is 50673036

Least common multiple can be found by multiplying the highest exponent prime factors of 7116 and 7121. First we will calculate the prime factors of 7116 and 7121.

Prime Factorization of 7116


2 7116
2 3558
3 1779
593 593
1

Prime factors of 7116 are 2, 3,593. Prime factorization of 7116 in exponential form is:

7116 = 22×31×5931

Prime Factorization of 7121


7121 7121
1

Prime factors of 7121 are 7121. Prime factorization of 7121 in exponential form is:

7121 = 71211

Now multiplying the highest exponent prime factors to calculate the LCM of 7116 and 7121.

LCM(7116,7121) = 22×31×5931×71211
LCM(7116,7121) = 50673036

Factors of 7116

List of positive integer factors of 7116 that divides 7116 without a remainder.

1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116

Factors of 7121

List of positive integer factors of 7121 that divides 7121 without a remainder.

1, 7121

Least Common Multiple of 7116 and 7121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7116 and 7121, than apply into the LCM equation.

GCF(7116,7121) = 1
LCM(7116,7121) = ( 7116 × 7121) / 1
LCM(7116,7121) = 50673036 / 1
LCM(7116,7121) = 50673036

Properties of LCM 7116 and 7121

(i) The LCM of 7121 and 7116 is associative

LCM of 7116 and 7121 = LCM of 7121 and 7116

Related Least Common Multiples of 7116

Related Least Common Multiples of 7121

Frequently Asked Questions on LCM of 7116 and 7121

1. What is the LCM of 7116 and 7121?

Answer: LCM of 7116 and 7121 is 50673036.

2. What are the Factors of 7116?

Answer: Factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116. There are 12 integers that are factors of 7116. The greatest factor of 7116 is 7116.

3. What are the Factors of 7121?

Answer: Factors of 7121 are 1, 7121. There are 2 integers that are factors of 7121. The greatest factor of 7121 is 7121.

4. How to Find the LCM of 7116 and 7121?

Answer:

Least Common Multiple of 7116 and 7121 = 50673036

Step 1: Find the prime factorization of 7116

7116 = 2 x 2 x 3 x 593

Step 2: Find the prime factorization of 7121

7121 = 7121

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

LCM = 50673036 = 2 x 2 x 3 x 593 x 7121

Step 4: Therefore, the least common multiple of 7116 and 7121 is 50673036.