Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2269 and 2273 the smallest integer that is 5157437 that is divisible by both numbers.
Least Common Multiple (LCM) of 2269 and 2273 is 5157437.
LCM(2269,2273) = 5157437
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 2269 and 2273. First we will calculate the prime factors of 2269 and 2273.
Prime Factorization of 2269
2269 | 2269 |
1 |
Prime factors of 2269 are 2269. Prime factorization of 2269 in exponential form is:
2269 = 22691
Prime Factorization of 2273
2273 | 2273 |
1 |
Prime factors of 2273 are 2273. Prime factorization of 2273 in exponential form is:
2273 = 22731
Now multiplying the highest exponent prime factors to calculate the LCM of 2269 and 2273.
LCM(2269,2273) = 22691×22731
LCM(2269,2273) = 5157437
Factors of 2269
List of positive integer factors of 2269 that divides 2269 without a remainder.
1, 2269
Factors of 2273
List of positive integer factors of 2273 that divides 2273 without a remainder.
1, 2273
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2269 and 2273, than apply into the LCM equation.
GCF(2269,2273) = 1
LCM(2269,2273) = ( 2269 × 2273) / 1
LCM(2269,2273) = 5157437 / 1
LCM(2269,2273) = 5157437
(i) The LCM of 2273 and 2269 is associative
LCM of 2269 and 2273 = LCM of 2273 and 2269
1. What is the LCM of 2269 and 2273?
Answer: LCM of 2269 and 2273 is 5157437.
2. What are the Factors of 2269?
Answer: Factors of 2269 are 1, 2269. There are 2 integers that are factors of 2269. The greatest factor of 2269 is 2269.
3. What are the Factors of 2273?
Answer: Factors of 2273 are 1, 2273. There are 2 integers that are factors of 2273. The greatest factor of 2273 is 2273.
4. How to Find the LCM of 2269 and 2273?
Answer:
Least Common Multiple of 2269 and 2273 = 5157437
Step 1: Find the prime factorization of 2269
2269 = 2269
Step 2: Find the prime factorization of 2273
2273 = 2273
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5157437 = 2269 x 2273
Step 4: Therefore, the least common multiple of 2269 and 2273 is 5157437.