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 2276 the smallest integer that is 5164244 that is divisible by both numbers.
Least Common Multiple (LCM) of 2269 and 2276 is 5164244.
LCM(2269,2276) = 5164244
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 2276. First we will calculate the prime factors of 2269 and 2276.
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 2276
2 | 2276 |
2 | 1138 |
569 | 569 |
1 |
Prime factors of 2276 are 2,569. Prime factorization of 2276 in exponential form is:
2276 = 22×5691
Now multiplying the highest exponent prime factors to calculate the LCM of 2269 and 2276.
LCM(2269,2276) = 22×5691×22691
LCM(2269,2276) = 5164244
Factors of 2269
List of positive integer factors of 2269 that divides 2269 without a remainder.
1, 2269
Factors of 2276
List of positive integer factors of 2276 that divides 2276 without a remainder.
1, 2, 4, 569, 1138, 2276
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2269 and 2276, than apply into the LCM equation.
GCF(2269,2276) = 1
LCM(2269,2276) = ( 2269 × 2276) / 1
LCM(2269,2276) = 5164244 / 1
LCM(2269,2276) = 5164244
(i) The LCM of 2276 and 2269 is associative
LCM of 2269 and 2276 = LCM of 2276 and 2269
1. What is the LCM of 2269 and 2276?
Answer: LCM of 2269 and 2276 is 5164244.
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 2276?
Answer: Factors of 2276 are 1, 2, 4, 569, 1138, 2276. There are 6 integers that are factors of 2276. The greatest factor of 2276 is 2276.
4. How to Find the LCM of 2269 and 2276?
Answer:
Least Common Multiple of 2269 and 2276 = 5164244
Step 1: Find the prime factorization of 2269
2269 = 2269
Step 2: Find the prime factorization of 2276
2276 = 2 x 2 x 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5164244 = 2 x 2 x 569 x 2269
Step 4: Therefore, the least common multiple of 2269 and 2276 is 5164244.