Least Common Multiple of 9104 and 9111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9104 and 9111 the smallest integer that is 82946544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9104 and 9111 is 82946544.

LCM(9104,9111) = 82946544

LCM of 9104 and 9111

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

LCM of:
and

Least Common Multiple of 9104 and 9111

LCM of 9104 and 9111 is 82946544

Least common multiple can be found by multiplying the highest exponent prime factors of 9104 and 9111. First we will calculate the prime factors of 9104 and 9111.

Prime Factorization of 9104


2 9104
2 4552
2 2276
2 1138
569 569
1

Prime factors of 9104 are 2,569. Prime factorization of 9104 in exponential form is:

9104 = 24×5691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9104 and 9111.

LCM(9104,9111) = 24×31×5691×30371
LCM(9104,9111) = 82946544

Factors of 9104

List of positive integer factors of 9104 that divides 9104 without a remainder.

1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104

Factors of 9111

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

1, 3, 3037, 9111

Least Common Multiple of 9104 and 9111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9104 and 9111, than apply into the LCM equation.

GCF(9104,9111) = 1
LCM(9104,9111) = ( 9104 × 9111) / 1
LCM(9104,9111) = 82946544 / 1
LCM(9104,9111) = 82946544

Properties of LCM 9104 and 9111

(i) The LCM of 9111 and 9104 is associative

LCM of 9104 and 9111 = LCM of 9111 and 9104

Related Least Common Multiples of 9104

Related Least Common Multiples of 9111

Frequently Asked Questions on LCM of 9104 and 9111

1. What is the LCM of 9104 and 9111?

Answer: LCM of 9104 and 9111 is 82946544.

2. What are the Factors of 9104?

Answer: Factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104. There are 10 integers that are factors of 9104. The greatest factor of 9104 is 9104.

3. 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.

4. How to Find the LCM of 9104 and 9111?

Answer:

Least Common Multiple of 9104 and 9111 = 82946544

Step 1: Find the prime factorization of 9104

9104 = 2 x 2 x 2 x 2 x 569

Step 2: Find the prime factorization of 9111

9111 = 3 x 3037

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

LCM = 82946544 = 2 x 2 x 2 x 2 x 3 x 569 x 3037

Step 4: Therefore, the least common multiple of 9104 and 9111 is 82946544.