Least Common Multiple of 2202 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 2202 and 2210 the smallest integer that is 2433210 that is divisible by both numbers.

Least Common Multiple (LCM) of 2202 and 2210 is 2433210.

LCM(2202,2210) = 2433210

LCM of 2202 and 2210

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

LCM of:
and

Least Common Multiple of 2202 and 2210

LCM of 2202 and 2210 is 2433210

Least common multiple can be found by multiplying the highest exponent prime factors of 2202 and 2210. First we will calculate the prime factors of 2202 and 2210.

Prime Factorization of 2202


2 2202
3 1101
367 367
1

Prime factors of 2202 are 2, 3,367. Prime factorization of 2202 in exponential form is:

2202 = 21×31×3671

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 2202 and 2210.

LCM(2202,2210) = 21×31×51×131×171×3671
LCM(2202,2210) = 2433210

Factors of 2202

List of positive integer factors of 2202 that divides 2202 without a remainder.

1, 2, 3, 6, 367, 734, 1101, 2202

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 2202 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 2202 and 2210, than apply into the LCM equation.

GCF(2202,2210) = 2
LCM(2202,2210) = ( 2202 × 2210) / 2
LCM(2202,2210) = 4866420 / 2
LCM(2202,2210) = 2433210

Properties of LCM 2202 and 2210

(i) The LCM of 2210 and 2202 is associative

LCM of 2202 and 2210 = LCM of 2210 and 2202

Related Least Common Multiples of 2202

Related Least Common Multiples of 2210

Frequently Asked Questions on LCM of 2202 and 2210

1. What is the LCM of 2202 and 2210?

Answer: LCM of 2202 and 2210 is 2433210.

2. What are the Factors of 2202?

Answer: Factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202. There are 8 integers that are factors of 2202. The greatest factor of 2202 is 2202.

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 2202 and 2210?

Answer:

Least Common Multiple of 2202 and 2210 = 2433210

Step 1: Find the prime factorization of 2202

2202 = 2 x 3 x 367

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 = 2433210 = 2 x 3 x 5 x 13 x 17 x 367

Step 4: Therefore, the least common multiple of 2202 and 2210 is 2433210.