Least Common Multiple of 2166 and 2174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2166 and 2174 the smallest integer that is 2354442 that is divisible by both numbers.

Least Common Multiple (LCM) of 2166 and 2174 is 2354442.

LCM(2166,2174) = 2354442

LCM of 2166 and 2174

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

LCM of:
and

Least Common Multiple of 2166 and 2174

LCM of 2166 and 2174 is 2354442

Least common multiple can be found by multiplying the highest exponent prime factors of 2166 and 2174. First we will calculate the prime factors of 2166 and 2174.

Prime Factorization of 2166


2 2166
3 1083
19 361
19 19
1

Prime factors of 2166 are 2, 3,19. Prime factorization of 2166 in exponential form is:

2166 = 21×31×192

Prime Factorization of 2174


2 2174
1087 1087
1

Prime factors of 2174 are 2,1087. Prime factorization of 2174 in exponential form is:

2174 = 21×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 2166 and 2174.

LCM(2166,2174) = 21×31×192×10871
LCM(2166,2174) = 2354442

Factors of 2166

List of positive integer factors of 2166 that divides 2166 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166

Factors of 2174

List of positive integer factors of 2174 that divides 2174 without a remainder.

1, 2, 1087, 2174

Least Common Multiple of 2166 and 2174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2166 and 2174, than apply into the LCM equation.

GCF(2166,2174) = 2
LCM(2166,2174) = ( 2166 × 2174) / 2
LCM(2166,2174) = 4708884 / 2
LCM(2166,2174) = 2354442

Properties of LCM 2166 and 2174

(i) The LCM of 2174 and 2166 is associative

LCM of 2166 and 2174 = LCM of 2174 and 2166

Related Least Common Multiples of 2166

Related Least Common Multiples of 2174

Frequently Asked Questions on LCM of 2166 and 2174

1. What is the LCM of 2166 and 2174?

Answer: LCM of 2166 and 2174 is 2354442.

2. What are the Factors of 2166?

Answer: Factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166. There are 12 integers that are factors of 2166. The greatest factor of 2166 is 2166.

3. What are the Factors of 2174?

Answer: Factors of 2174 are 1, 2, 1087, 2174. There are 4 integers that are factors of 2174. The greatest factor of 2174 is 2174.

4. How to Find the LCM of 2166 and 2174?

Answer:

Least Common Multiple of 2166 and 2174 = 2354442

Step 1: Find the prime factorization of 2166

2166 = 2 x 3 x 19 x 19

Step 2: Find the prime factorization of 2174

2174 = 2 x 1087

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

LCM = 2354442 = 2 x 3 x 19 x 19 x 1087

Step 4: Therefore, the least common multiple of 2166 and 2174 is 2354442.