Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2204 and 2206 the smallest integer that is 2431012 that is divisible by both numbers.
Least Common Multiple (LCM) of 2204 and 2206 is 2431012.
LCM(2204,2206) = 2431012
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2204 and 2206. First we will calculate the prime factors of 2204 and 2206.
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
Prime Factorization of 2206
2 | 2206 |
1103 | 1103 |
1 |
Prime factors of 2206 are 2,1103. Prime factorization of 2206 in exponential form is:
2206 = 21×11031
Now multiplying the highest exponent prime factors to calculate the LCM of 2204 and 2206.
LCM(2204,2206) = 22×191×291×11031
LCM(2204,2206) = 2431012
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
Factors of 2206
List of positive integer factors of 2206 that divides 2206 without a remainder.
1, 2, 1103, 2206
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2204 and 2206, than apply into the LCM equation.
GCF(2204,2206) = 2
LCM(2204,2206) = ( 2204 × 2206) / 2
LCM(2204,2206) = 4862024 / 2
LCM(2204,2206) = 2431012
(i) The LCM of 2206 and 2204 is associative
LCM of 2204 and 2206 = LCM of 2206 and 2204
1. What is the LCM of 2204 and 2206?
Answer: LCM of 2204 and 2206 is 2431012.
2. 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.
3. What are the Factors of 2206?
Answer: Factors of 2206 are 1, 2, 1103, 2206. There are 4 integers that are factors of 2206. The greatest factor of 2206 is 2206.
4. How to Find the LCM of 2204 and 2206?
Answer:
Least Common Multiple of 2204 and 2206 = 2431012
Step 1: Find the prime factorization of 2204
2204 = 2 x 2 x 19 x 29
Step 2: Find the prime factorization of 2206
2206 = 2 x 1103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2431012 = 2 x 2 x 19 x 29 x 1103
Step 4: Therefore, the least common multiple of 2204 and 2206 is 2431012.