Least Common Multiple of 1166 and 1172

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 1172 the smallest integer that is 683276 that is divisible by both numbers.

Least Common Multiple (LCM) of 1166 and 1172 is 683276.

LCM(1166,1172) = 683276

LCM of 1166 and 1172

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

LCM of:
and

Least Common Multiple of 1166 and 1172

LCM of 1166 and 1172 is 683276

Least common multiple can be found by multiplying the highest exponent prime factors of 1166 and 1172. First we will calculate the prime factors of 1166 and 1172.

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 1172


2 1172
2 586
293 293
1

Prime factors of 1172 are 2,293. Prime factorization of 1172 in exponential form is:

1172 = 22×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 1166 and 1172.

LCM(1166,1172) = 22×111×531×2931
LCM(1166,1172) = 683276

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 1172

List of positive integer factors of 1172 that divides 1172 without a remainder.

1, 2, 4, 293, 586, 1172

Least Common Multiple of 1166 and 1172 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 1172, than apply into the LCM equation.

GCF(1166,1172) = 2
LCM(1166,1172) = ( 1166 × 1172) / 2
LCM(1166,1172) = 1366552 / 2
LCM(1166,1172) = 683276

Properties of LCM 1166 and 1172

(i) The LCM of 1172 and 1166 is associative

LCM of 1166 and 1172 = LCM of 1172 and 1166

Related Least Common Multiples of 1166

Related Least Common Multiples of 1172

Frequently Asked Questions on LCM of 1166 and 1172

1. What is the LCM of 1166 and 1172?

Answer: LCM of 1166 and 1172 is 683276.

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 1172?

Answer: Factors of 1172 are 1, 2, 4, 293, 586, 1172. There are 6 integers that are factors of 1172. The greatest factor of 1172 is 1172.

4. How to Find the LCM of 1166 and 1172?

Answer:

Least Common Multiple of 1166 and 1172 = 683276

Step 1: Find the prime factorization of 1166

1166 = 2 x 11 x 53

Step 2: Find the prime factorization of 1172

1172 = 2 x 2 x 293

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

LCM = 683276 = 2 x 2 x 11 x 53 x 293

Step 4: Therefore, the least common multiple of 1166 and 1172 is 683276.