Least Common Multiple of 1166 and 1173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1166 and 1173 the smallest integer that is 1367718 that is divisible by both numbers.

Least Common Multiple (LCM) of 1166 and 1173 is 1367718.

LCM(1166,1173) = 1367718

LCM of 1166 and 1173

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

LCM of:
and

Least Common Multiple of 1166 and 1173

LCM of 1166 and 1173 is 1367718

Least common multiple can be found by multiplying the highest exponent prime factors of 1166 and 1173. First we will calculate the prime factors of 1166 and 1173.

Prime Factorization of 1166


2 1166
11 583
53 53
1

Prime factors of 1166 are 2, 11,53. Prime factorization of 1166 in exponential form is:

1166 = 21×111×531

Prime Factorization of 1173


3 1173
17 391
23 23
1

Prime factors of 1173 are 3, 17,23. Prime factorization of 1173 in exponential form is:

1173 = 31×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1166 and 1173.

LCM(1166,1173) = 21×31×111×171×231×531
LCM(1166,1173) = 1367718

Factors of 1166

List of positive integer factors of 1166 that divides 1166 without a remainder.

1, 2, 11, 22, 53, 106, 583, 1166

Factors of 1173

List of positive integer factors of 1173 that divides 1173 without a remainder.

1, 3, 17, 23, 51, 69, 391, 1173

Least Common Multiple of 1166 and 1173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1166 and 1173, than apply into the LCM equation.

GCF(1166,1173) = 1
LCM(1166,1173) = ( 1166 × 1173) / 1
LCM(1166,1173) = 1367718 / 1
LCM(1166,1173) = 1367718

Properties of LCM 1166 and 1173

(i) The LCM of 1173 and 1166 is associative

LCM of 1166 and 1173 = LCM of 1173 and 1166

Related Least Common Multiples of 1166

Related Least Common Multiples of 1173

Frequently Asked Questions on LCM of 1166 and 1173

1. What is the LCM of 1166 and 1173?

Answer: LCM of 1166 and 1173 is 1367718.

2. What are the Factors of 1166?

Answer: Factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166. There are 8 integers that are factors of 1166. The greatest factor of 1166 is 1166.

3. What are the Factors of 1173?

Answer: Factors of 1173 are 1, 3, 17, 23, 51, 69, 391, 1173. There are 8 integers that are factors of 1173. The greatest factor of 1173 is 1173.

4. How to Find the LCM of 1166 and 1173?

Answer:

Least Common Multiple of 1166 and 1173 = 1367718

Step 1: Find the prime factorization of 1166

1166 = 2 x 11 x 53

Step 2: Find the prime factorization of 1173

1173 = 3 x 17 x 23

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

LCM = 1367718 = 2 x 3 x 11 x 17 x 23 x 53

Step 4: Therefore, the least common multiple of 1166 and 1173 is 1367718.