Least Common Multiple of 1150 and 1155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1150 and 1155 the smallest integer that is 265650 that is divisible by both numbers.

Least Common Multiple (LCM) of 1150 and 1155 is 265650.

LCM(1150,1155) = 265650

LCM of 1150 and 1155

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

LCM of:
and

Least Common Multiple of 1150 and 1155

LCM of 1150 and 1155 is 265650

Least common multiple can be found by multiplying the highest exponent prime factors of 1150 and 1155. First we will calculate the prime factors of 1150 and 1155.

Prime Factorization of 1150


2 1150
5 575
5 115
23 23
1

Prime factors of 1150 are 2, 5,23. Prime factorization of 1150 in exponential form is:

1150 = 21×52×231

Prime Factorization of 1155


3 1155
5 385
7 77
11 11
1

Prime factors of 1155 are 3, 5, 7,11. Prime factorization of 1155 in exponential form is:

1155 = 31×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1150 and 1155.

LCM(1150,1155) = 21×31×52×71×111×231
LCM(1150,1155) = 265650

Factors of 1150

List of positive integer factors of 1150 that divides 1150 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150

Factors of 1155

List of positive integer factors of 1155 that divides 1155 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155

Least Common Multiple of 1150 and 1155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1150 and 1155, than apply into the LCM equation.

GCF(1150,1155) = 5
LCM(1150,1155) = ( 1150 × 1155) / 5
LCM(1150,1155) = 1328250 / 5
LCM(1150,1155) = 265650

Properties of LCM 1150 and 1155

(i) The LCM of 1155 and 1150 is associative

LCM of 1150 and 1155 = LCM of 1155 and 1150

Related Least Common Multiples of 1150

Related Least Common Multiples of 1155

Frequently Asked Questions on LCM of 1150 and 1155

1. What is the LCM of 1150 and 1155?

Answer: LCM of 1150 and 1155 is 265650.

2. What are the Factors of 1150?

Answer: Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150. There are 12 integers that are factors of 1150. The greatest factor of 1150 is 1150.

3. What are the Factors of 1155?

Answer: Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155. There are 16 integers that are factors of 1155. The greatest factor of 1155 is 1155.

4. How to Find the LCM of 1150 and 1155?

Answer:

Least Common Multiple of 1150 and 1155 = 265650

Step 1: Find the prime factorization of 1150

1150 = 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 1155

1155 = 3 x 5 x 7 x 11

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

LCM = 265650 = 2 x 3 x 5 x 5 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 1150 and 1155 is 265650.