Least Common Multiple of 1155 and 1161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1155 and 1161 the smallest integer that is 446985 that is divisible by both numbers.

Least Common Multiple (LCM) of 1155 and 1161 is 446985.

LCM(1155,1161) = 446985

LCM of 1155 and 1161

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

LCM of:
and

Least Common Multiple of 1155 and 1161

LCM of 1155 and 1161 is 446985

Least common multiple can be found by multiplying the highest exponent prime factors of 1155 and 1161. First we will calculate the prime factors of 1155 and 1161.

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

Prime Factorization of 1161


3 1161
3 387
3 129
43 43
1

Prime factors of 1161 are 3,43. Prime factorization of 1161 in exponential form is:

1161 = 33×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1155 and 1161.

LCM(1155,1161) = 33×51×71×111×431
LCM(1155,1161) = 446985

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

Factors of 1161

List of positive integer factors of 1161 that divides 1161 without a remainder.

1, 3, 9, 27, 43, 129, 387, 1161

Least Common Multiple of 1155 and 1161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1155 and 1161, than apply into the LCM equation.

GCF(1155,1161) = 3
LCM(1155,1161) = ( 1155 × 1161) / 3
LCM(1155,1161) = 1340955 / 3
LCM(1155,1161) = 446985

Properties of LCM 1155 and 1161

(i) The LCM of 1161 and 1155 is associative

LCM of 1155 and 1161 = LCM of 1161 and 1155

Related Least Common Multiples of 1155

Related Least Common Multiples of 1161

Frequently Asked Questions on LCM of 1155 and 1161

1. What is the LCM of 1155 and 1161?

Answer: LCM of 1155 and 1161 is 446985.

2. 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.

3. What are the Factors of 1161?

Answer: Factors of 1161 are 1, 3, 9, 27, 43, 129, 387, 1161. There are 8 integers that are factors of 1161. The greatest factor of 1161 is 1161.

4. How to Find the LCM of 1155 and 1161?

Answer:

Least Common Multiple of 1155 and 1161 = 446985

Step 1: Find the prime factorization of 1155

1155 = 3 x 5 x 7 x 11

Step 2: Find the prime factorization of 1161

1161 = 3 x 3 x 3 x 43

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

LCM = 446985 = 3 x 3 x 3 x 5 x 7 x 11 x 43

Step 4: Therefore, the least common multiple of 1155 and 1161 is 446985.