Least Common Multiple of 2202 and 2204

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 2204 the smallest integer that is 2426604 that is divisible by both numbers.

Least Common Multiple (LCM) of 2202 and 2204 is 2426604.

LCM(2202,2204) = 2426604

LCM of 2202 and 2204

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

LCM of:
and

Least Common Multiple of 2202 and 2204

LCM of 2202 and 2204 is 2426604

Least common multiple can be found by multiplying the highest exponent prime factors of 2202 and 2204. First we will calculate the prime factors of 2202 and 2204.

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 2204


2 2204
2 1102
19 551
29 29
1

Prime factors of 2204 are 2, 19,29. Prime factorization of 2204 in exponential form is:

2204 = 22×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2202 and 2204.

LCM(2202,2204) = 22×31×191×291×3671
LCM(2202,2204) = 2426604

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 2204

List of positive integer factors of 2204 that divides 2204 without a remainder.

1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204

Least Common Multiple of 2202 and 2204 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 2204, than apply into the LCM equation.

GCF(2202,2204) = 2
LCM(2202,2204) = ( 2202 × 2204) / 2
LCM(2202,2204) = 4853208 / 2
LCM(2202,2204) = 2426604

Properties of LCM 2202 and 2204

(i) The LCM of 2204 and 2202 is associative

LCM of 2202 and 2204 = LCM of 2204 and 2202

Related Least Common Multiples of 2202

Related Least Common Multiples of 2204

Frequently Asked Questions on LCM of 2202 and 2204

1. What is the LCM of 2202 and 2204?

Answer: LCM of 2202 and 2204 is 2426604.

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 2204?

Answer: Factors of 2204 are 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204. There are 12 integers that are factors of 2204. The greatest factor of 2204 is 2204.

4. How to Find the LCM of 2202 and 2204?

Answer:

Least Common Multiple of 2202 and 2204 = 2426604

Step 1: Find the prime factorization of 2202

2202 = 2 x 3 x 367

Step 2: Find the prime factorization of 2204

2204 = 2 x 2 x 19 x 29

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

LCM = 2426604 = 2 x 2 x 3 x 19 x 29 x 367

Step 4: Therefore, the least common multiple of 2202 and 2204 is 2426604.