Least Common Multiple of 1156 and 1160

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 1160 the smallest integer that is 335240 that is divisible by both numbers.

Least Common Multiple (LCM) of 1156 and 1160 is 335240.

LCM(1156,1160) = 335240

LCM of 1156 and 1160

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

LCM of:
and

Least Common Multiple of 1156 and 1160

LCM of 1156 and 1160 is 335240

Least common multiple can be found by multiplying the highest exponent prime factors of 1156 and 1160. First we will calculate the prime factors of 1156 and 1160.

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 1160


2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 1160 are 2, 5,29. Prime factorization of 1160 in exponential form is:

1160 = 23×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1156 and 1160.

LCM(1156,1160) = 23×51×172×291
LCM(1156,1160) = 335240

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 1160

List of positive integer factors of 1160 that divides 1160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160

Least Common Multiple of 1156 and 1160 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 1160, than apply into the LCM equation.

GCF(1156,1160) = 4
LCM(1156,1160) = ( 1156 × 1160) / 4
LCM(1156,1160) = 1340960 / 4
LCM(1156,1160) = 335240

Properties of LCM 1156 and 1160

(i) The LCM of 1160 and 1156 is associative

LCM of 1156 and 1160 = LCM of 1160 and 1156

Related Least Common Multiples of 1156

Related Least Common Multiples of 1160

Frequently Asked Questions on LCM of 1156 and 1160

1. What is the LCM of 1156 and 1160?

Answer: LCM of 1156 and 1160 is 335240.

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 1160?

Answer: Factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160. There are 16 integers that are factors of 1160. The greatest factor of 1160 is 1160.

4. How to Find the LCM of 1156 and 1160?

Answer:

Least Common Multiple of 1156 and 1160 = 335240

Step 1: Find the prime factorization of 1156

1156 = 2 x 2 x 17 x 17

Step 2: Find the prime factorization of 1160

1160 = 2 x 2 x 2 x 5 x 29

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

LCM = 335240 = 2 x 2 x 2 x 5 x 17 x 17 x 29

Step 4: Therefore, the least common multiple of 1156 and 1160 is 335240.