Least Common Multiple of 2181 and 2189

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 2189 the smallest integer that is 4774209 that is divisible by both numbers.

Least Common Multiple (LCM) of 2181 and 2189 is 4774209.

LCM(2181,2189) = 4774209

LCM of 2181 and 2189

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

LCM of:
and

Least Common Multiple of 2181 and 2189

LCM of 2181 and 2189 is 4774209

Least common multiple can be found by multiplying the highest exponent prime factors of 2181 and 2189. First we will calculate the prime factors of 2181 and 2189.

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 2189


11 2189
199 199
1

Prime factors of 2189 are 11,199. Prime factorization of 2189 in exponential form is:

2189 = 111×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 2181 and 2189.

LCM(2181,2189) = 31×111×1991×7271
LCM(2181,2189) = 4774209

Factors of 2181

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

1, 3, 727, 2181

Factors of 2189

List of positive integer factors of 2189 that divides 2189 without a remainder.

1, 11, 199, 2189

Least Common Multiple of 2181 and 2189 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 2189, than apply into the LCM equation.

GCF(2181,2189) = 1
LCM(2181,2189) = ( 2181 × 2189) / 1
LCM(2181,2189) = 4774209 / 1
LCM(2181,2189) = 4774209

Properties of LCM 2181 and 2189

(i) The LCM of 2189 and 2181 is associative

LCM of 2181 and 2189 = LCM of 2189 and 2181

Related Least Common Multiples of 2181

Related Least Common Multiples of 2189

Frequently Asked Questions on LCM of 2181 and 2189

1. What is the LCM of 2181 and 2189?

Answer: LCM of 2181 and 2189 is 4774209.

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 2189?

Answer: Factors of 2189 are 1, 11, 199, 2189. There are 4 integers that are factors of 2189. The greatest factor of 2189 is 2189.

4. How to Find the LCM of 2181 and 2189?

Answer:

Least Common Multiple of 2181 and 2189 = 4774209

Step 1: Find the prime factorization of 2181

2181 = 3 x 727

Step 2: Find the prime factorization of 2189

2189 = 11 x 199

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

LCM = 4774209 = 3 x 11 x 199 x 727

Step 4: Therefore, the least common multiple of 2181 and 2189 is 4774209.