Least Common Multiple of 9111 and 9116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9111 and 9116 the smallest integer that is 83055876 that is divisible by both numbers.

Least Common Multiple (LCM) of 9111 and 9116 is 83055876.

LCM(9111,9116) = 83055876

LCM of 9111 and 9116

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

LCM of:
and

Least Common Multiple of 9111 and 9116

LCM of 9111 and 9116 is 83055876

Least common multiple can be found by multiplying the highest exponent prime factors of 9111 and 9116. First we will calculate the prime factors of 9111 and 9116.

Prime Factorization of 9111


3 9111
3037 3037
1

Prime factors of 9111 are 3,3037. Prime factorization of 9111 in exponential form is:

9111 = 31×30371

Prime Factorization of 9116


2 9116
2 4558
43 2279
53 53
1

Prime factors of 9116 are 2, 43,53. Prime factorization of 9116 in exponential form is:

9116 = 22×431×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9111 and 9116.

LCM(9111,9116) = 22×31×431×531×30371
LCM(9111,9116) = 83055876

Factors of 9111

List of positive integer factors of 9111 that divides 9111 without a remainder.

1, 3, 3037, 9111

Factors of 9116

List of positive integer factors of 9116 that divides 9116 without a remainder.

1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116

Least Common Multiple of 9111 and 9116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9111 and 9116, than apply into the LCM equation.

GCF(9111,9116) = 1
LCM(9111,9116) = ( 9111 × 9116) / 1
LCM(9111,9116) = 83055876 / 1
LCM(9111,9116) = 83055876

Properties of LCM 9111 and 9116

(i) The LCM of 9116 and 9111 is associative

LCM of 9111 and 9116 = LCM of 9116 and 9111

Related Least Common Multiples of 9111

Related Least Common Multiples of 9116

Frequently Asked Questions on LCM of 9111 and 9116

1. What is the LCM of 9111 and 9116?

Answer: LCM of 9111 and 9116 is 83055876.

2. What are the Factors of 9111?

Answer: Factors of 9111 are 1, 3, 3037, 9111. There are 4 integers that are factors of 9111. The greatest factor of 9111 is 9111.

3. What are the Factors of 9116?

Answer: Factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116. There are 12 integers that are factors of 9116. The greatest factor of 9116 is 9116.

4. How to Find the LCM of 9111 and 9116?

Answer:

Least Common Multiple of 9111 and 9116 = 83055876

Step 1: Find the prime factorization of 9111

9111 = 3 x 3037

Step 2: Find the prime factorization of 9116

9116 = 2 x 2 x 43 x 53

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

LCM = 83055876 = 2 x 2 x 3 x 43 x 53 x 3037

Step 4: Therefore, the least common multiple of 9111 and 9116 is 83055876.