Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2207 and 2210 the smallest integer that is 4877470 that is divisible by both numbers.
Least Common Multiple (LCM) of 2207 and 2210 is 4877470.
LCM(2207,2210) = 4877470
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 2207 and 2210. First we will calculate the prime factors of 2207 and 2210.
Prime Factorization of 2207
2207 | 2207 |
1 |
Prime factors of 2207 are 2207. Prime factorization of 2207 in exponential form is:
2207 = 22071
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 2207 and 2210.
LCM(2207,2210) = 21×51×131×171×22071
LCM(2207,2210) = 4877470
Factors of 2207
List of positive integer factors of 2207 that divides 2207 without a remainder.
1, 2207
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2207 and 2210, than apply into the LCM equation.
GCF(2207,2210) = 1
LCM(2207,2210) = ( 2207 × 2210) / 1
LCM(2207,2210) = 4877470 / 1
LCM(2207,2210) = 4877470
(i) The LCM of 2210 and 2207 is associative
LCM of 2207 and 2210 = LCM of 2210 and 2207
1. What is the LCM of 2207 and 2210?
Answer: LCM of 2207 and 2210 is 4877470.
2. What are the Factors of 2207?
Answer: Factors of 2207 are 1, 2207. There are 2 integers that are factors of 2207. The greatest factor of 2207 is 2207.
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 2207 and 2210?
Answer:
Least Common Multiple of 2207 and 2210 = 4877470
Step 1: Find the prime factorization of 2207
2207 = 2207
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 = 4877470 = 2 x 5 x 13 x 17 x 2207
Step 4: Therefore, the least common multiple of 2207 and 2210 is 4877470.