Least Common Multiple of 1156 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 1156 and 1161 the smallest integer that is 1342116 that is divisible by both numbers.

Least Common Multiple (LCM) of 1156 and 1161 is 1342116.

LCM(1156,1161) = 1342116

LCM of 1156 and 1161

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

LCM of:
and

Least Common Multiple of 1156 and 1161

LCM of 1156 and 1161 is 1342116

Least common multiple can be found by multiplying the highest exponent prime factors of 1156 and 1161. First we will calculate the prime factors of 1156 and 1161.

Prime Factorization of 1156


2 1156
2 578
17 289
17 17
1

Prime factors of 1156 are 2,17. Prime factorization of 1156 in exponential form is:

1156 = 22×172

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 1156 and 1161.

LCM(1156,1161) = 22×33×172×431
LCM(1156,1161) = 1342116

Factors of 1156

List of positive integer factors of 1156 that divides 1156 without a remainder.

1, 2, 4, 17, 34, 68, 289, 578, 1156

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 1156 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 1156 and 1161, than apply into the LCM equation.

GCF(1156,1161) = 1
LCM(1156,1161) = ( 1156 × 1161) / 1
LCM(1156,1161) = 1342116 / 1
LCM(1156,1161) = 1342116

Properties of LCM 1156 and 1161

(i) The LCM of 1161 and 1156 is associative

LCM of 1156 and 1161 = LCM of 1161 and 1156

Related Least Common Multiples of 1156

Related Least Common Multiples of 1161

Frequently Asked Questions on LCM of 1156 and 1161

1. What is the LCM of 1156 and 1161?

Answer: LCM of 1156 and 1161 is 1342116.

2. What are the Factors of 1156?

Answer: Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156. There are 9 integers that are factors of 1156. The greatest factor of 1156 is 1156.

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 1156 and 1161?

Answer:

Least Common Multiple of 1156 and 1161 = 1342116

Step 1: Find the prime factorization of 1156

1156 = 2 x 2 x 17 x 17

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 = 1342116 = 2 x 2 x 3 x 3 x 3 x 17 x 17 x 43

Step 4: Therefore, the least common multiple of 1156 and 1161 is 1342116.