Least Common Multiple of 1166 and 1174

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 1174 the smallest integer that is 684442 that is divisible by both numbers.

Least Common Multiple (LCM) of 1166 and 1174 is 684442.

LCM(1166,1174) = 684442

LCM of 1166 and 1174

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

LCM of:
and

Least Common Multiple of 1166 and 1174

LCM of 1166 and 1174 is 684442

Least common multiple can be found by multiplying the highest exponent prime factors of 1166 and 1174. First we will calculate the prime factors of 1166 and 1174.

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 1174


2 1174
587 587
1

Prime factors of 1174 are 2,587. Prime factorization of 1174 in exponential form is:

1174 = 21×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 1166 and 1174.

LCM(1166,1174) = 21×111×531×5871
LCM(1166,1174) = 684442

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 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1, 2, 587, 1174

Least Common Multiple of 1166 and 1174 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 1174, than apply into the LCM equation.

GCF(1166,1174) = 2
LCM(1166,1174) = ( 1166 × 1174) / 2
LCM(1166,1174) = 1368884 / 2
LCM(1166,1174) = 684442

Properties of LCM 1166 and 1174

(i) The LCM of 1174 and 1166 is associative

LCM of 1166 and 1174 = LCM of 1174 and 1166

Related Least Common Multiples of 1166

Related Least Common Multiples of 1174

Frequently Asked Questions on LCM of 1166 and 1174

1. What is the LCM of 1166 and 1174?

Answer: LCM of 1166 and 1174 is 684442.

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 1174?

Answer: Factors of 1174 are 1, 2, 587, 1174. There are 4 integers that are factors of 1174. The greatest factor of 1174 is 1174.

4. How to Find the LCM of 1166 and 1174?

Answer:

Least Common Multiple of 1166 and 1174 = 684442

Step 1: Find the prime factorization of 1166

1166 = 2 x 11 x 53

Step 2: Find the prime factorization of 1174

1174 = 2 x 587

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

LCM = 684442 = 2 x 11 x 53 x 587

Step 4: Therefore, the least common multiple of 1166 and 1174 is 684442.