Least Common Multiple of 1147 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 1147 and 1155 the smallest integer that is 1324785 that is divisible by both numbers.

Least Common Multiple (LCM) of 1147 and 1155 is 1324785.

LCM(1147,1155) = 1324785

LCM of 1147 and 1155

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

LCM of:
and

Least Common Multiple of 1147 and 1155

LCM of 1147 and 1155 is 1324785

Least common multiple can be found by multiplying the highest exponent prime factors of 1147 and 1155. First we will calculate the prime factors of 1147 and 1155.

Prime Factorization of 1147


31 1147
37 37
1

Prime factors of 1147 are 31,37. Prime factorization of 1147 in exponential form is:

1147 = 311×371

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 1147 and 1155.

LCM(1147,1155) = 31×51×71×111×311×371
LCM(1147,1155) = 1324785

Factors of 1147

List of positive integer factors of 1147 that divides 1147 without a remainder.

1, 31, 37, 1147

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 1147 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 1147 and 1155, than apply into the LCM equation.

GCF(1147,1155) = 1
LCM(1147,1155) = ( 1147 × 1155) / 1
LCM(1147,1155) = 1324785 / 1
LCM(1147,1155) = 1324785

Properties of LCM 1147 and 1155

(i) The LCM of 1155 and 1147 is associative

LCM of 1147 and 1155 = LCM of 1155 and 1147

Related Least Common Multiples of 1147

Related Least Common Multiples of 1155

Frequently Asked Questions on LCM of 1147 and 1155

1. What is the LCM of 1147 and 1155?

Answer: LCM of 1147 and 1155 is 1324785.

2. What are the Factors of 1147?

Answer: Factors of 1147 are 1, 31, 37, 1147. There are 4 integers that are factors of 1147. The greatest factor of 1147 is 1147.

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 1147 and 1155?

Answer:

Least Common Multiple of 1147 and 1155 = 1324785

Step 1: Find the prime factorization of 1147

1147 = 31 x 37

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 = 1324785 = 3 x 5 x 7 x 11 x 31 x 37

Step 4: Therefore, the least common multiple of 1147 and 1155 is 1324785.