Least Common Multiple of 1168 and 1175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1168 and 1175 the smallest integer that is 1372400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1168 and 1175 is 1372400.

LCM(1168,1175) = 1372400

LCM of 1168 and 1175

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

LCM of:
and

Least Common Multiple of 1168 and 1175

LCM of 1168 and 1175 is 1372400

Least common multiple can be found by multiplying the highest exponent prime factors of 1168 and 1175. First we will calculate the prime factors of 1168 and 1175.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1168 and 1175.

LCM(1168,1175) = 24×52×471×731
LCM(1168,1175) = 1372400

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

Factors of 1175

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

1, 5, 25, 47, 235, 1175

Least Common Multiple of 1168 and 1175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1168 and 1175, than apply into the LCM equation.

GCF(1168,1175) = 1
LCM(1168,1175) = ( 1168 × 1175) / 1
LCM(1168,1175) = 1372400 / 1
LCM(1168,1175) = 1372400

Properties of LCM 1168 and 1175

(i) The LCM of 1175 and 1168 is associative

LCM of 1168 and 1175 = LCM of 1175 and 1168

Related Least Common Multiples of 1168

Related Least Common Multiples of 1175

Frequently Asked Questions on LCM of 1168 and 1175

1. What is the LCM of 1168 and 1175?

Answer: LCM of 1168 and 1175 is 1372400.

2. 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.

3. 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.

4. How to Find the LCM of 1168 and 1175?

Answer:

Least Common Multiple of 1168 and 1175 = 1372400

Step 1: Find the prime factorization of 1168

1168 = 2 x 2 x 2 x 2 x 73

Step 2: Find the prime factorization of 1175

1175 = 5 x 5 x 47

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

LCM = 1372400 = 2 x 2 x 2 x 2 x 5 x 5 x 47 x 73

Step 4: Therefore, the least common multiple of 1168 and 1175 is 1372400.