Least Common Multiple of 2174 and 2181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2174 and 2181 the smallest integer that is 4741494 that is divisible by both numbers.

Least Common Multiple (LCM) of 2174 and 2181 is 4741494.

LCM(2174,2181) = 4741494

LCM of 2174 and 2181

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

LCM of:
and

Least Common Multiple of 2174 and 2181

LCM of 2174 and 2181 is 4741494

Least common multiple can be found by multiplying the highest exponent prime factors of 2174 and 2181. First we will calculate the prime factors of 2174 and 2181.

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

Prime Factorization of 2181


3 2181
727 727
1

Prime factors of 2181 are 3,727. Prime factorization of 2181 in exponential form is:

2181 = 31×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 2174 and 2181.

LCM(2174,2181) = 21×31×7271×10871
LCM(2174,2181) = 4741494

Factors of 2174

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

1, 2, 1087, 2174

Factors of 2181

List of positive integer factors of 2181 that divides 2181 without a remainder.

1, 3, 727, 2181

Least Common Multiple of 2174 and 2181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2174 and 2181, than apply into the LCM equation.

GCF(2174,2181) = 1
LCM(2174,2181) = ( 2174 × 2181) / 1
LCM(2174,2181) = 4741494 / 1
LCM(2174,2181) = 4741494

Properties of LCM 2174 and 2181

(i) The LCM of 2181 and 2174 is associative

LCM of 2174 and 2181 = LCM of 2181 and 2174

Related Least Common Multiples of 2174

Related Least Common Multiples of 2181

Frequently Asked Questions on LCM of 2174 and 2181

1. What is the LCM of 2174 and 2181?

Answer: LCM of 2174 and 2181 is 4741494.

2. 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.

3. What are the Factors of 2181?

Answer: Factors of 2181 are 1, 3, 727, 2181. There are 4 integers that are factors of 2181. The greatest factor of 2181 is 2181.

4. How to Find the LCM of 2174 and 2181?

Answer:

Least Common Multiple of 2174 and 2181 = 4741494

Step 1: Find the prime factorization of 2174

2174 = 2 x 1087

Step 2: Find the prime factorization of 2181

2181 = 3 x 727

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

LCM = 4741494 = 2 x 3 x 727 x 1087

Step 4: Therefore, the least common multiple of 2174 and 2181 is 4741494.