Least Common Multiple of 9112 and 9119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9112 and 9119 the smallest integer that is 83092328 that is divisible by both numbers.

Least Common Multiple (LCM) of 9112 and 9119 is 83092328.

LCM(9112,9119) = 83092328

LCM of 9112 and 9119

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

LCM of:
and

Least Common Multiple of 9112 and 9119

LCM of 9112 and 9119 is 83092328

Least common multiple can be found by multiplying the highest exponent prime factors of 9112 and 9119. First we will calculate the prime factors of 9112 and 9119.

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

Prime Factorization of 9119


11 9119
829 829
1

Prime factors of 9119 are 11,829. Prime factorization of 9119 in exponential form is:

9119 = 111×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 9112 and 9119.

LCM(9112,9119) = 23×111×171×671×8291
LCM(9112,9119) = 83092328

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

Factors of 9119

List of positive integer factors of 9119 that divides 9119 without a remainder.

1, 11, 829, 9119

Least Common Multiple of 9112 and 9119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9112 and 9119, than apply into the LCM equation.

GCF(9112,9119) = 1
LCM(9112,9119) = ( 9112 × 9119) / 1
LCM(9112,9119) = 83092328 / 1
LCM(9112,9119) = 83092328

Properties of LCM 9112 and 9119

(i) The LCM of 9119 and 9112 is associative

LCM of 9112 and 9119 = LCM of 9119 and 9112

Related Least Common Multiples of 9112

Related Least Common Multiples of 9119

Frequently Asked Questions on LCM of 9112 and 9119

1. What is the LCM of 9112 and 9119?

Answer: LCM of 9112 and 9119 is 83092328.

2. 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.

3. What are the Factors of 9119?

Answer: Factors of 9119 are 1, 11, 829, 9119. There are 4 integers that are factors of 9119. The greatest factor of 9119 is 9119.

4. How to Find the LCM of 9112 and 9119?

Answer:

Least Common Multiple of 9112 and 9119 = 83092328

Step 1: Find the prime factorization of 9112

9112 = 2 x 2 x 2 x 17 x 67

Step 2: Find the prime factorization of 9119

9119 = 11 x 829

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

LCM = 83092328 = 2 x 2 x 2 x 11 x 17 x 67 x 829

Step 4: Therefore, the least common multiple of 9112 and 9119 is 83092328.