Least Common Multiple of 2182 and 2188

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 2188 the smallest integer that is 2387108 that is divisible by both numbers.

Least Common Multiple (LCM) of 2182 and 2188 is 2387108.

LCM(2182,2188) = 2387108

LCM of 2182 and 2188

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

LCM of:
and

Least Common Multiple of 2182 and 2188

LCM of 2182 and 2188 is 2387108

Least common multiple can be found by multiplying the highest exponent prime factors of 2182 and 2188. First we will calculate the prime factors of 2182 and 2188.

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 2188


2 2188
2 1094
547 547
1

Prime factors of 2188 are 2,547. Prime factorization of 2188 in exponential form is:

2188 = 22×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 2182 and 2188.

LCM(2182,2188) = 22×5471×10911
LCM(2182,2188) = 2387108

Factors of 2182

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

1, 2, 1091, 2182

Factors of 2188

List of positive integer factors of 2188 that divides 2188 without a remainder.

1, 2, 4, 547, 1094, 2188

Least Common Multiple of 2182 and 2188 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 2188, than apply into the LCM equation.

GCF(2182,2188) = 2
LCM(2182,2188) = ( 2182 × 2188) / 2
LCM(2182,2188) = 4774216 / 2
LCM(2182,2188) = 2387108

Properties of LCM 2182 and 2188

(i) The LCM of 2188 and 2182 is associative

LCM of 2182 and 2188 = LCM of 2188 and 2182

Related Least Common Multiples of 2182

Related Least Common Multiples of 2188

Frequently Asked Questions on LCM of 2182 and 2188

1. What is the LCM of 2182 and 2188?

Answer: LCM of 2182 and 2188 is 2387108.

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 2188?

Answer: Factors of 2188 are 1, 2, 4, 547, 1094, 2188. There are 6 integers that are factors of 2188. The greatest factor of 2188 is 2188.

4. How to Find the LCM of 2182 and 2188?

Answer:

Least Common Multiple of 2182 and 2188 = 2387108

Step 1: Find the prime factorization of 2182

2182 = 2 x 1091

Step 2: Find the prime factorization of 2188

2188 = 2 x 2 x 547

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

LCM = 2387108 = 2 x 2 x 547 x 1091

Step 4: Therefore, the least common multiple of 2182 and 2188 is 2387108.