Least Common Multiple of 9150 and 9155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9150 and 9155 the smallest integer that is 16753650 that is divisible by both numbers.

Least Common Multiple (LCM) of 9150 and 9155 is 16753650.

LCM(9150,9155) = 16753650

LCM of 9150 and 9155

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

LCM of:
and

Least Common Multiple of 9150 and 9155

LCM of 9150 and 9155 is 16753650

Least common multiple can be found by multiplying the highest exponent prime factors of 9150 and 9155. First we will calculate the prime factors of 9150 and 9155.

Prime Factorization of 9150


2 9150
3 4575
5 1525
5 305
61 61
1

Prime factors of 9150 are 2, 3, 5,61. Prime factorization of 9150 in exponential form is:

9150 = 21×31×52×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9150 and 9155.

LCM(9150,9155) = 21×31×52×611×18311
LCM(9150,9155) = 16753650

Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150

Factors of 9155

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

1, 5, 1831, 9155

Least Common Multiple of 9150 and 9155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9150 and 9155, than apply into the LCM equation.

GCF(9150,9155) = 5
LCM(9150,9155) = ( 9150 × 9155) / 5
LCM(9150,9155) = 83768250 / 5
LCM(9150,9155) = 16753650

Properties of LCM 9150 and 9155

(i) The LCM of 9155 and 9150 is associative

LCM of 9150 and 9155 = LCM of 9155 and 9150

Related Least Common Multiples of 9150

Related Least Common Multiples of 9155

Frequently Asked Questions on LCM of 9150 and 9155

1. What is the LCM of 9150 and 9155?

Answer: LCM of 9150 and 9155 is 16753650.

2. What are the Factors of 9150?

Answer: Factors of 9150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150. There are 24 integers that are factors of 9150. The greatest factor of 9150 is 9150.

3. 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.

4. How to Find the LCM of 9150 and 9155?

Answer:

Least Common Multiple of 9150 and 9155 = 16753650

Step 1: Find the prime factorization of 9150

9150 = 2 x 3 x 5 x 5 x 61

Step 2: Find the prime factorization of 9155

9155 = 5 x 1831

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

LCM = 16753650 = 2 x 3 x 5 x 5 x 61 x 1831

Step 4: Therefore, the least common multiple of 9150 and 9155 is 16753650.