Least Common Multiple of 2183 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 2183 and 2187 the smallest integer that is 4774221 that is divisible by both numbers.

Least Common Multiple (LCM) of 2183 and 2187 is 4774221.

LCM(2183,2187) = 4774221

LCM of 2183 and 2187

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

LCM of:
and

Least Common Multiple of 2183 and 2187

LCM of 2183 and 2187 is 4774221

Least common multiple can be found by multiplying the highest exponent prime factors of 2183 and 2187. First we will calculate the prime factors of 2183 and 2187.

Prime Factorization of 2183


37 2183
59 59
1

Prime factors of 2183 are 37,59. Prime factorization of 2183 in exponential form is:

2183 = 371×591

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 2183 and 2187.

LCM(2183,2187) = 37×371×591
LCM(2183,2187) = 4774221

Factors of 2183

List of positive integer factors of 2183 that divides 2183 without a remainder.

1, 37, 59, 2183

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 2183 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 2183 and 2187, than apply into the LCM equation.

GCF(2183,2187) = 1
LCM(2183,2187) = ( 2183 × 2187) / 1
LCM(2183,2187) = 4774221 / 1
LCM(2183,2187) = 4774221

Properties of LCM 2183 and 2187

(i) The LCM of 2187 and 2183 is associative

LCM of 2183 and 2187 = LCM of 2187 and 2183

Related Least Common Multiples of 2183

Related Least Common Multiples of 2187

Frequently Asked Questions on LCM of 2183 and 2187

1. What is the LCM of 2183 and 2187?

Answer: LCM of 2183 and 2187 is 4774221.

2. What are the Factors of 2183?

Answer: Factors of 2183 are 1, 37, 59, 2183. There are 4 integers that are factors of 2183. The greatest factor of 2183 is 2183.

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 2183 and 2187?

Answer:

Least Common Multiple of 2183 and 2187 = 4774221

Step 1: Find the prime factorization of 2183

2183 = 37 x 59

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 = 4774221 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 37 x 59

Step 4: Therefore, the least common multiple of 2183 and 2187 is 4774221.