Least Common Multiple of 1160 and 1168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1160 and 1168 the smallest integer that is 169360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1160 and 1168 is 169360.

LCM(1160,1168) = 169360

LCM of 1160 and 1168

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

LCM of:
and

Least Common Multiple of 1160 and 1168

LCM of 1160 and 1168 is 169360

Least common multiple can be found by multiplying the highest exponent prime factors of 1160 and 1168. First we will calculate the prime factors of 1160 and 1168.

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

Prime Factorization of 1168


2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 1168 are 2,73. Prime factorization of 1168 in exponential form is:

1168 = 24×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1160 and 1168.

LCM(1160,1168) = 24×51×291×731
LCM(1160,1168) = 169360

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

Factors of 1168

List of positive integer factors of 1168 that divides 1168 without a remainder.

1, 2, 4, 8, 16, 73, 146, 292, 584, 1168

Least Common Multiple of 1160 and 1168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1160 and 1168, than apply into the LCM equation.

GCF(1160,1168) = 8
LCM(1160,1168) = ( 1160 × 1168) / 8
LCM(1160,1168) = 1354880 / 8
LCM(1160,1168) = 169360

Properties of LCM 1160 and 1168

(i) The LCM of 1168 and 1160 is associative

LCM of 1160 and 1168 = LCM of 1168 and 1160

Related Least Common Multiples of 1160

Related Least Common Multiples of 1168

Frequently Asked Questions on LCM of 1160 and 1168

1. What is the LCM of 1160 and 1168?

Answer: LCM of 1160 and 1168 is 169360.

2. 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.

3. What are the Factors of 1168?

Answer: Factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168. There are 10 integers that are factors of 1168. The greatest factor of 1168 is 1168.

4. How to Find the LCM of 1160 and 1168?

Answer:

Least Common Multiple of 1160 and 1168 = 169360

Step 1: Find the prime factorization of 1160

1160 = 2 x 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 1168

1168 = 2 x 2 x 2 x 2 x 73

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

LCM = 169360 = 2 x 2 x 2 x 2 x 5 x 29 x 73

Step 4: Therefore, the least common multiple of 1160 and 1168 is 169360.