Least Common Multiple of 9104 and 9108

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 9108 the smallest integer that is 20729808 that is divisible by both numbers.

Least Common Multiple (LCM) of 9104 and 9108 is 20729808.

LCM(9104,9108) = 20729808

LCM of 9104 and 9108

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

LCM of:
and

Least Common Multiple of 9104 and 9108

LCM of 9104 and 9108 is 20729808

Least common multiple can be found by multiplying the highest exponent prime factors of 9104 and 9108. First we will calculate the prime factors of 9104 and 9108.

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 9108


2 9108
2 4554
3 2277
3 759
11 253
23 23
1

Prime factors of 9108 are 2, 3, 11,23. Prime factorization of 9108 in exponential form is:

9108 = 22×32×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9104 and 9108.

LCM(9104,9108) = 24×32×111×231×5691
LCM(9104,9108) = 20729808

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 9108

List of positive integer factors of 9108 that divides 9108 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108

Least Common Multiple of 9104 and 9108 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 9108, than apply into the LCM equation.

GCF(9104,9108) = 4
LCM(9104,9108) = ( 9104 × 9108) / 4
LCM(9104,9108) = 82919232 / 4
LCM(9104,9108) = 20729808

Properties of LCM 9104 and 9108

(i) The LCM of 9108 and 9104 is associative

LCM of 9104 and 9108 = LCM of 9108 and 9104

Related Least Common Multiples of 9104

Related Least Common Multiples of 9108

Frequently Asked Questions on LCM of 9104 and 9108

1. What is the LCM of 9104 and 9108?

Answer: LCM of 9104 and 9108 is 20729808.

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 9108?

Answer: Factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108. There are 36 integers that are factors of 9108. The greatest factor of 9108 is 9108.

4. How to Find the LCM of 9104 and 9108?

Answer:

Least Common Multiple of 9104 and 9108 = 20729808

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 9108

9108 = 2 x 2 x 3 x 3 x 11 x 23

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

LCM = 20729808 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 23 x 569

Step 4: Therefore, the least common multiple of 9104 and 9108 is 20729808.