Least Common Multiple of 2198 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 2198 and 2204 the smallest integer that is 2422196 that is divisible by both numbers.

Least Common Multiple (LCM) of 2198 and 2204 is 2422196.

LCM(2198,2204) = 2422196

LCM of 2198 and 2204

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

LCM of:
and

Least Common Multiple of 2198 and 2204

LCM of 2198 and 2204 is 2422196

Least common multiple can be found by multiplying the highest exponent prime factors of 2198 and 2204. First we will calculate the prime factors of 2198 and 2204.

Prime Factorization of 2198


2 2198
7 1099
157 157
1

Prime factors of 2198 are 2, 7,157. Prime factorization of 2198 in exponential form is:

2198 = 21×71×1571

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 2198 and 2204.

LCM(2198,2204) = 22×71×191×291×1571
LCM(2198,2204) = 2422196

Factors of 2198

List of positive integer factors of 2198 that divides 2198 without a remainder.

1, 2, 7, 14, 157, 314, 1099, 2198

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 2198 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 2198 and 2204, than apply into the LCM equation.

GCF(2198,2204) = 2
LCM(2198,2204) = ( 2198 × 2204) / 2
LCM(2198,2204) = 4844392 / 2
LCM(2198,2204) = 2422196

Properties of LCM 2198 and 2204

(i) The LCM of 2204 and 2198 is associative

LCM of 2198 and 2204 = LCM of 2204 and 2198

Related Least Common Multiples of 2198

Related Least Common Multiples of 2204

Frequently Asked Questions on LCM of 2198 and 2204

1. What is the LCM of 2198 and 2204?

Answer: LCM of 2198 and 2204 is 2422196.

2. What are the Factors of 2198?

Answer: Factors of 2198 are 1, 2, 7, 14, 157, 314, 1099, 2198. There are 8 integers that are factors of 2198. The greatest factor of 2198 is 2198.

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 2198 and 2204?

Answer:

Least Common Multiple of 2198 and 2204 = 2422196

Step 1: Find the prime factorization of 2198

2198 = 2 x 7 x 157

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 = 2422196 = 2 x 2 x 7 x 19 x 29 x 157

Step 4: Therefore, the least common multiple of 2198 and 2204 is 2422196.