Least Common Multiple of 1175 and 1181

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 1181 the smallest integer that is 1387675 that is divisible by both numbers.

Least Common Multiple (LCM) of 1175 and 1181 is 1387675.

LCM(1175,1181) = 1387675

LCM of 1175 and 1181

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

LCM of:
and

Least Common Multiple of 1175 and 1181

LCM of 1175 and 1181 is 1387675

Least common multiple can be found by multiplying the highest exponent prime factors of 1175 and 1181. First we will calculate the prime factors of 1175 and 1181.

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 1181


1181 1181
1

Prime factors of 1181 are 1181. Prime factorization of 1181 in exponential form is:

1181 = 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 1175 and 1181.

LCM(1175,1181) = 52×471×11811
LCM(1175,1181) = 1387675

Factors of 1175

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

1, 5, 25, 47, 235, 1175

Factors of 1181

List of positive integer factors of 1181 that divides 1181 without a remainder.

1, 1181

Least Common Multiple of 1175 and 1181 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 1181, than apply into the LCM equation.

GCF(1175,1181) = 1
LCM(1175,1181) = ( 1175 × 1181) / 1
LCM(1175,1181) = 1387675 / 1
LCM(1175,1181) = 1387675

Properties of LCM 1175 and 1181

(i) The LCM of 1181 and 1175 is associative

LCM of 1175 and 1181 = LCM of 1181 and 1175

Frequently Asked Questions on LCM of 1175 and 1181

1. What is the LCM of 1175 and 1181?

Answer: LCM of 1175 and 1181 is 1387675.

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 1181?

Answer: Factors of 1181 are 1, 1181. There are 2 integers that are factors of 1181. The greatest factor of 1181 is 1181.

4. How to Find the LCM of 1175 and 1181?

Answer:

Least Common Multiple of 1175 and 1181 = 1387675

Step 1: Find the prime factorization of 1175

1175 = 5 x 5 x 47

Step 2: Find the prime factorization of 1181

1181 = 1181

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

LCM = 1387675 = 5 x 5 x 47 x 1181

Step 4: Therefore, the least common multiple of 1175 and 1181 is 1387675.