Least Common Multiple of 1175 and 1183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1175 and 1183 the smallest integer that is 1390025 that is divisible by both numbers.

Least Common Multiple (LCM) of 1175 and 1183 is 1390025.

LCM(1175,1183) = 1390025

LCM of 1175 and 1183

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

LCM of:
and

Least Common Multiple of 1175 and 1183

LCM of 1175 and 1183 is 1390025

Least common multiple can be found by multiplying the highest exponent prime factors of 1175 and 1183. First we will calculate the prime factors of 1175 and 1183.

Prime Factorization of 1175


5 1175
5 235
47 47
1

Prime factors of 1175 are 5,47. Prime factorization of 1175 in exponential form is:

1175 = 52×471

Prime Factorization of 1183


7 1183
13 169
13 13
1

Prime factors of 1183 are 7,13. Prime factorization of 1183 in exponential form is:

1183 = 71×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1175 and 1183.

LCM(1175,1183) = 52×71×132×471
LCM(1175,1183) = 1390025

Factors of 1175

List of positive integer factors of 1175 that divides 1175 without a remainder.

1, 5, 25, 47, 235, 1175

Factors of 1183

List of positive integer factors of 1183 that divides 1183 without a remainder.

1, 7, 13, 91, 169, 1183

Least Common Multiple of 1175 and 1183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1175 and 1183, than apply into the LCM equation.

GCF(1175,1183) = 1
LCM(1175,1183) = ( 1175 × 1183) / 1
LCM(1175,1183) = 1390025 / 1
LCM(1175,1183) = 1390025

Properties of LCM 1175 and 1183

(i) The LCM of 1183 and 1175 is associative

LCM of 1175 and 1183 = LCM of 1183 and 1175

Related Least Common Multiples of 1175

Related Least Common Multiples of 1183

Frequently Asked Questions on LCM of 1175 and 1183

1. What is the LCM of 1175 and 1183?

Answer: LCM of 1175 and 1183 is 1390025.

2. What are the Factors of 1175?

Answer: Factors of 1175 are 1, 5, 25, 47, 235, 1175. There are 6 integers that are factors of 1175. The greatest factor of 1175 is 1175.

3. What are the Factors of 1183?

Answer: Factors of 1183 are 1, 7, 13, 91, 169, 1183. There are 6 integers that are factors of 1183. The greatest factor of 1183 is 1183.

4. How to Find the LCM of 1175 and 1183?

Answer:

Least Common Multiple of 1175 and 1183 = 1390025

Step 1: Find the prime factorization of 1175

1175 = 5 x 5 x 47

Step 2: Find the prime factorization of 1183

1183 = 7 x 13 x 13

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

LCM = 1390025 = 5 x 5 x 7 x 13 x 13 x 47

Step 4: Therefore, the least common multiple of 1175 and 1183 is 1390025.