Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2281 and 2289 the smallest integer that is 5221209 that is divisible by both numbers.
Least Common Multiple (LCM) of 2281 and 2289 is 5221209.
LCM(2281,2289) = 5221209
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 2281 and 2289. First we will calculate the prime factors of 2281 and 2289.
Prime Factorization of 2281
2281 | 2281 |
1 |
Prime factors of 2281 are 2281. Prime factorization of 2281 in exponential form is:
2281 = 22811
Prime Factorization of 2289
3 | 2289 |
7 | 763 |
109 | 109 |
1 |
Prime factors of 2289 are 3, 7,109. Prime factorization of 2289 in exponential form is:
2289 = 31×71×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 2281 and 2289.
LCM(2281,2289) = 31×71×1091×22811
LCM(2281,2289) = 5221209
Factors of 2281
List of positive integer factors of 2281 that divides 2281 without a remainder.
1, 2281
Factors of 2289
List of positive integer factors of 2289 that divides 2289 without a remainder.
1, 3, 7, 21, 109, 327, 763, 2289
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2281 and 2289, than apply into the LCM equation.
GCF(2281,2289) = 1
LCM(2281,2289) = ( 2281 × 2289) / 1
LCM(2281,2289) = 5221209 / 1
LCM(2281,2289) = 5221209
(i) The LCM of 2289 and 2281 is associative
LCM of 2281 and 2289 = LCM of 2289 and 2281
1. What is the LCM of 2281 and 2289?
Answer: LCM of 2281 and 2289 is 5221209.
2. What are the Factors of 2281?
Answer: Factors of 2281 are 1, 2281. There are 2 integers that are factors of 2281. The greatest factor of 2281 is 2281.
3. What are the Factors of 2289?
Answer: Factors of 2289 are 1, 3, 7, 21, 109, 327, 763, 2289. There are 8 integers that are factors of 2289. The greatest factor of 2289 is 2289.
4. How to Find the LCM of 2281 and 2289?
Answer:
Least Common Multiple of 2281 and 2289 = 5221209
Step 1: Find the prime factorization of 2281
2281 = 2281
Step 2: Find the prime factorization of 2289
2289 = 3 x 7 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5221209 = 3 x 7 x 109 x 2281
Step 4: Therefore, the least common multiple of 2281 and 2289 is 5221209.