Least Common Multiple of 9155 and 9160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9155 and 9160 the smallest integer that is 16771960 that is divisible by both numbers.

Least Common Multiple (LCM) of 9155 and 9160 is 16771960.

LCM(9155,9160) = 16771960

LCM of 9155 and 9160

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

LCM of:
and

Least Common Multiple of 9155 and 9160

LCM of 9155 and 9160 is 16771960

Least common multiple can be found by multiplying the highest exponent prime factors of 9155 and 9160. First we will calculate the prime factors of 9155 and 9160.

Prime Factorization of 9155


5 9155
1831 1831
1

Prime factors of 9155 are 5,1831. Prime factorization of 9155 in exponential form is:

9155 = 51×18311

Prime Factorization of 9160


2 9160
2 4580
2 2290
5 1145
229 229
1

Prime factors of 9160 are 2, 5,229. Prime factorization of 9160 in exponential form is:

9160 = 23×51×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 9155 and 9160.

LCM(9155,9160) = 23×51×2291×18311
LCM(9155,9160) = 16771960

Factors of 9155

List of positive integer factors of 9155 that divides 9155 without a remainder.

1, 5, 1831, 9155

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160

Least Common Multiple of 9155 and 9160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9155 and 9160, than apply into the LCM equation.

GCF(9155,9160) = 5
LCM(9155,9160) = ( 9155 × 9160) / 5
LCM(9155,9160) = 83859800 / 5
LCM(9155,9160) = 16771960

Properties of LCM 9155 and 9160

(i) The LCM of 9160 and 9155 is associative

LCM of 9155 and 9160 = LCM of 9160 and 9155

Related Least Common Multiples of 9155

Related Least Common Multiples of 9160

Frequently Asked Questions on LCM of 9155 and 9160

1. What is the LCM of 9155 and 9160?

Answer: LCM of 9155 and 9160 is 16771960.

2. What are the Factors of 9155?

Answer: Factors of 9155 are 1, 5, 1831, 9155. There are 4 integers that are factors of 9155. The greatest factor of 9155 is 9155.

3. What are the Factors of 9160?

Answer: Factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160. There are 16 integers that are factors of 9160. The greatest factor of 9160 is 9160.

4. How to Find the LCM of 9155 and 9160?

Answer:

Least Common Multiple of 9155 and 9160 = 16771960

Step 1: Find the prime factorization of 9155

9155 = 5 x 1831

Step 2: Find the prime factorization of 9160

9160 = 2 x 2 x 2 x 5 x 229

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

LCM = 16771960 = 2 x 2 x 2 x 5 x 229 x 1831

Step 4: Therefore, the least common multiple of 9155 and 9160 is 16771960.