Least Common Multiple of 2182 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 2182 and 2189 the smallest integer that is 4776398 that is divisible by both numbers.

Least Common Multiple (LCM) of 2182 and 2189 is 4776398.

LCM(2182,2189) = 4776398

LCM of 2182 and 2189

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

LCM of:
and

Least Common Multiple of 2182 and 2189

LCM of 2182 and 2189 is 4776398

Least common multiple can be found by multiplying the highest exponent prime factors of 2182 and 2189. First we will calculate the prime factors of 2182 and 2189.

Prime Factorization of 2182


2 2182
1091 1091
1

Prime factors of 2182 are 2,1091. Prime factorization of 2182 in exponential form is:

2182 = 21×10911

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 2182 and 2189.

LCM(2182,2189) = 21×111×1991×10911
LCM(2182,2189) = 4776398

Factors of 2182

List of positive integer factors of 2182 that divides 2182 without a remainder.

1, 2, 1091, 2182

Factors of 2189

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

1, 11, 199, 2189

Least Common Multiple of 2182 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 2182 and 2189, than apply into the LCM equation.

GCF(2182,2189) = 1
LCM(2182,2189) = ( 2182 × 2189) / 1
LCM(2182,2189) = 4776398 / 1
LCM(2182,2189) = 4776398

Properties of LCM 2182 and 2189

(i) The LCM of 2189 and 2182 is associative

LCM of 2182 and 2189 = LCM of 2189 and 2182

Related Least Common Multiples of 2182

Related Least Common Multiples of 2189

Frequently Asked Questions on LCM of 2182 and 2189

1. What is the LCM of 2182 and 2189?

Answer: LCM of 2182 and 2189 is 4776398.

2. What are the Factors of 2182?

Answer: Factors of 2182 are 1, 2, 1091, 2182. There are 4 integers that are factors of 2182. The greatest factor of 2182 is 2182.

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 2182 and 2189?

Answer:

Least Common Multiple of 2182 and 2189 = 4776398

Step 1: Find the prime factorization of 2182

2182 = 2 x 1091

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 = 4776398 = 2 x 11 x 199 x 1091

Step 4: Therefore, the least common multiple of 2182 and 2189 is 4776398.