Least Common Multiple of 2183 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 2183 and 2189 the smallest integer that is 4778587 that is divisible by both numbers.

Least Common Multiple (LCM) of 2183 and 2189 is 4778587.

LCM(2183,2189) = 4778587

LCM of 2183 and 2189

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

LCM of:
and

Least Common Multiple of 2183 and 2189

LCM of 2183 and 2189 is 4778587

Least common multiple can be found by multiplying the highest exponent prime factors of 2183 and 2189. First we will calculate the prime factors of 2183 and 2189.

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 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 2183 and 2189.

LCM(2183,2189) = 111×371×591×1991
LCM(2183,2189) = 4778587

Factors of 2183

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

1, 37, 59, 2183

Factors of 2189

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

1, 11, 199, 2189

Least Common Multiple of 2183 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 2183 and 2189, than apply into the LCM equation.

GCF(2183,2189) = 1
LCM(2183,2189) = ( 2183 × 2189) / 1
LCM(2183,2189) = 4778587 / 1
LCM(2183,2189) = 4778587

Properties of LCM 2183 and 2189

(i) The LCM of 2189 and 2183 is associative

LCM of 2183 and 2189 = LCM of 2189 and 2183

Related Least Common Multiples of 2183

Related Least Common Multiples of 2189

Frequently Asked Questions on LCM of 2183 and 2189

1. What is the LCM of 2183 and 2189?

Answer: LCM of 2183 and 2189 is 4778587.

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 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 2183 and 2189?

Answer:

Least Common Multiple of 2183 and 2189 = 4778587

Step 1: Find the prime factorization of 2183

2183 = 37 x 59

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 = 4778587 = 11 x 37 x 59 x 199

Step 4: Therefore, the least common multiple of 2183 and 2189 is 4778587.