Least Common Multiple of 1160 and 1164

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 1164 the smallest integer that is 337560 that is divisible by both numbers.

Least Common Multiple (LCM) of 1160 and 1164 is 337560.

LCM(1160,1164) = 337560

LCM of 1160 and 1164

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

LCM of:
and

Least Common Multiple of 1160 and 1164

LCM of 1160 and 1164 is 337560

Least common multiple can be found by multiplying the highest exponent prime factors of 1160 and 1164. First we will calculate the prime factors of 1160 and 1164.

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 1164


2 1164
2 582
3 291
97 97
1

Prime factors of 1164 are 2, 3,97. Prime factorization of 1164 in exponential form is:

1164 = 22×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1160 and 1164.

LCM(1160,1164) = 23×31×51×291×971
LCM(1160,1164) = 337560

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 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164

Least Common Multiple of 1160 and 1164 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 1164, than apply into the LCM equation.

GCF(1160,1164) = 4
LCM(1160,1164) = ( 1160 × 1164) / 4
LCM(1160,1164) = 1350240 / 4
LCM(1160,1164) = 337560

Properties of LCM 1160 and 1164

(i) The LCM of 1164 and 1160 is associative

LCM of 1160 and 1164 = LCM of 1164 and 1160

Related Least Common Multiples of 1160

Related Least Common Multiples of 1164

Frequently Asked Questions on LCM of 1160 and 1164

1. What is the LCM of 1160 and 1164?

Answer: LCM of 1160 and 1164 is 337560.

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 1164?

Answer: Factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164. There are 12 integers that are factors of 1164. The greatest factor of 1164 is 1164.

4. How to Find the LCM of 1160 and 1164?

Answer:

Least Common Multiple of 1160 and 1164 = 337560

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 1164

1164 = 2 x 2 x 3 x 97

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

LCM = 337560 = 2 x 2 x 2 x 3 x 5 x 29 x 97

Step 4: Therefore, the least common multiple of 1160 and 1164 is 337560.