Least Common Multiple of 2203 and 2210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2203 and 2210 the smallest integer that is 4868630 that is divisible by both numbers.

Least Common Multiple (LCM) of 2203 and 2210 is 4868630.

LCM(2203,2210) = 4868630

LCM of 2203 and 2210

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

LCM of:
and

Least Common Multiple of 2203 and 2210

LCM of 2203 and 2210 is 4868630

Least common multiple can be found by multiplying the highest exponent prime factors of 2203 and 2210. First we will calculate the prime factors of 2203 and 2210.

Prime Factorization of 2203


2203 2203
1

Prime factors of 2203 are 2203. Prime factorization of 2203 in exponential form is:

2203 = 22031

Prime Factorization of 2210


2 2210
5 1105
13 221
17 17
1

Prime factors of 2210 are 2, 5, 13,17. Prime factorization of 2210 in exponential form is:

2210 = 21×51×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2203 and 2210.

LCM(2203,2210) = 21×51×131×171×22031
LCM(2203,2210) = 4868630

Factors of 2203

List of positive integer factors of 2203 that divides 2203 without a remainder.

1, 2203

Factors of 2210

List of positive integer factors of 2210 that divides 2210 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210

Least Common Multiple of 2203 and 2210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2203 and 2210, than apply into the LCM equation.

GCF(2203,2210) = 1
LCM(2203,2210) = ( 2203 × 2210) / 1
LCM(2203,2210) = 4868630 / 1
LCM(2203,2210) = 4868630

Properties of LCM 2203 and 2210

(i) The LCM of 2210 and 2203 is associative

LCM of 2203 and 2210 = LCM of 2210 and 2203

Related Least Common Multiples of 2203

Related Least Common Multiples of 2210

Frequently Asked Questions on LCM of 2203 and 2210

1. What is the LCM of 2203 and 2210?

Answer: LCM of 2203 and 2210 is 4868630.

2. What are the Factors of 2203?

Answer: Factors of 2203 are 1, 2203. There are 2 integers that are factors of 2203. The greatest factor of 2203 is 2203.

3. What are the Factors of 2210?

Answer: Factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210. There are 16 integers that are factors of 2210. The greatest factor of 2210 is 2210.

4. How to Find the LCM of 2203 and 2210?

Answer:

Least Common Multiple of 2203 and 2210 = 4868630

Step 1: Find the prime factorization of 2203

2203 = 2203

Step 2: Find the prime factorization of 2210

2210 = 2 x 5 x 13 x 17

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

LCM = 4868630 = 2 x 5 x 13 x 17 x 2203

Step 4: Therefore, the least common multiple of 2203 and 2210 is 4868630.