Least Common Multiple of 9111 and 9118

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 9118 the smallest integer that is 83074098 that is divisible by both numbers.

Least Common Multiple (LCM) of 9111 and 9118 is 83074098.

LCM(9111,9118) = 83074098

LCM of 9111 and 9118

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

LCM of:
and

Least Common Multiple of 9111 and 9118

LCM of 9111 and 9118 is 83074098

Least common multiple can be found by multiplying the highest exponent prime factors of 9111 and 9118. First we will calculate the prime factors of 9111 and 9118.

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 9118


2 9118
47 4559
97 97
1

Prime factors of 9118 are 2, 47,97. Prime factorization of 9118 in exponential form is:

9118 = 21×471×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9111 and 9118.

LCM(9111,9118) = 21×31×471×971×30371
LCM(9111,9118) = 83074098

Factors of 9111

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

1, 3, 3037, 9111

Factors of 9118

List of positive integer factors of 9118 that divides 9118 without a remainder.

1, 2, 47, 94, 97, 194, 4559, 9118

Least Common Multiple of 9111 and 9118 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 9118, than apply into the LCM equation.

GCF(9111,9118) = 1
LCM(9111,9118) = ( 9111 × 9118) / 1
LCM(9111,9118) = 83074098 / 1
LCM(9111,9118) = 83074098

Properties of LCM 9111 and 9118

(i) The LCM of 9118 and 9111 is associative

LCM of 9111 and 9118 = LCM of 9118 and 9111

Related Least Common Multiples of 9111

Related Least Common Multiples of 9118

Frequently Asked Questions on LCM of 9111 and 9118

1. What is the LCM of 9111 and 9118?

Answer: LCM of 9111 and 9118 is 83074098.

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 9118?

Answer: Factors of 9118 are 1, 2, 47, 94, 97, 194, 4559, 9118. There are 8 integers that are factors of 9118. The greatest factor of 9118 is 9118.

4. How to Find the LCM of 9111 and 9118?

Answer:

Least Common Multiple of 9111 and 9118 = 83074098

Step 1: Find the prime factorization of 9111

9111 = 3 x 3037

Step 2: Find the prime factorization of 9118

9118 = 2 x 47 x 97

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

LCM = 83074098 = 2 x 3 x 47 x 97 x 3037

Step 4: Therefore, the least common multiple of 9111 and 9118 is 83074098.