Least Common Multiple of 9104 and 9112

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 9112 the smallest integer that is 10369456 that is divisible by both numbers.

Least Common Multiple (LCM) of 9104 and 9112 is 10369456.

LCM(9104,9112) = 10369456

LCM of 9104 and 9112

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

LCM of:
and

Least Common Multiple of 9104 and 9112

LCM of 9104 and 9112 is 10369456

Least common multiple can be found by multiplying the highest exponent prime factors of 9104 and 9112. First we will calculate the prime factors of 9104 and 9112.

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 9112


2 9112
2 4556
2 2278
17 1139
67 67
1

Prime factors of 9112 are 2, 17,67. Prime factorization of 9112 in exponential form is:

9112 = 23×171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 9104 and 9112.

LCM(9104,9112) = 24×171×671×5691
LCM(9104,9112) = 10369456

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 9112

List of positive integer factors of 9112 that divides 9112 without a remainder.

1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112

Least Common Multiple of 9104 and 9112 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 9112, than apply into the LCM equation.

GCF(9104,9112) = 8
LCM(9104,9112) = ( 9104 × 9112) / 8
LCM(9104,9112) = 82955648 / 8
LCM(9104,9112) = 10369456

Properties of LCM 9104 and 9112

(i) The LCM of 9112 and 9104 is associative

LCM of 9104 and 9112 = LCM of 9112 and 9104

Related Least Common Multiples of 9104

Related Least Common Multiples of 9112

Frequently Asked Questions on LCM of 9104 and 9112

1. What is the LCM of 9104 and 9112?

Answer: LCM of 9104 and 9112 is 10369456.

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 9112?

Answer: Factors of 9112 are 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112. There are 16 integers that are factors of 9112. The greatest factor of 9112 is 9112.

4. How to Find the LCM of 9104 and 9112?

Answer:

Least Common Multiple of 9104 and 9112 = 10369456

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 9112

9112 = 2 x 2 x 2 x 17 x 67

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

LCM = 10369456 = 2 x 2 x 2 x 2 x 17 x 67 x 569

Step 4: Therefore, the least common multiple of 9104 and 9112 is 10369456.