Least Common Multiple of 2181 and 2187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2181 and 2187 the smallest integer that is 1589949 that is divisible by both numbers.

Least Common Multiple (LCM) of 2181 and 2187 is 1589949.

LCM(2181,2187) = 1589949

LCM of 2181 and 2187

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

LCM of:
and

Least Common Multiple of 2181 and 2187

LCM of 2181 and 2187 is 1589949

Least common multiple can be found by multiplying the highest exponent prime factors of 2181 and 2187. First we will calculate the prime factors of 2181 and 2187.

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

Prime Factorization of 2187


3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 2187 are 3. Prime factorization of 2187 in exponential form is:

2187 = 37

Now multiplying the highest exponent prime factors to calculate the LCM of 2181 and 2187.

LCM(2181,2187) = 37×7271
LCM(2181,2187) = 1589949

Factors of 2181

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

1, 3, 727, 2181

Factors of 2187

List of positive integer factors of 2187 that divides 2187 without a remainder.

1, 3, 9, 27, 81, 243, 729, 2187

Least Common Multiple of 2181 and 2187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2181 and 2187, than apply into the LCM equation.

GCF(2181,2187) = 3
LCM(2181,2187) = ( 2181 × 2187) / 3
LCM(2181,2187) = 4769847 / 3
LCM(2181,2187) = 1589949

Properties of LCM 2181 and 2187

(i) The LCM of 2187 and 2181 is associative

LCM of 2181 and 2187 = LCM of 2187 and 2181

Related Least Common Multiples of 2181

Related Least Common Multiples of 2187

Frequently Asked Questions on LCM of 2181 and 2187

1. What is the LCM of 2181 and 2187?

Answer: LCM of 2181 and 2187 is 1589949.

2. 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.

3. What are the Factors of 2187?

Answer: Factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187. There are 8 integers that are factors of 2187. The greatest factor of 2187 is 2187.

4. How to Find the LCM of 2181 and 2187?

Answer:

Least Common Multiple of 2181 and 2187 = 1589949

Step 1: Find the prime factorization of 2181

2181 = 3 x 727

Step 2: Find the prime factorization of 2187

2187 = 3 x 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 1589949 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 727

Step 4: Therefore, the least common multiple of 2181 and 2187 is 1589949.