Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2297 and 2302 the smallest integer that is 5287694 that is divisible by both numbers.
Least Common Multiple (LCM) of 2297 and 2302 is 5287694.
LCM(2297,2302) = 5287694
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 2297 and 2302. First we will calculate the prime factors of 2297 and 2302.
Prime Factorization of 2297
2297 | 2297 |
1 |
Prime factors of 2297 are 2297. Prime factorization of 2297 in exponential form is:
2297 = 22971
Prime Factorization of 2302
2 | 2302 |
1151 | 1151 |
1 |
Prime factors of 2302 are 2,1151. Prime factorization of 2302 in exponential form is:
2302 = 21×11511
Now multiplying the highest exponent prime factors to calculate the LCM of 2297 and 2302.
LCM(2297,2302) = 21×11511×22971
LCM(2297,2302) = 5287694
Factors of 2297
List of positive integer factors of 2297 that divides 2297 without a remainder.
1, 2297
Factors of 2302
List of positive integer factors of 2302 that divides 2302 without a remainder.
1, 2, 1151, 2302
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2297 and 2302, than apply into the LCM equation.
GCF(2297,2302) = 1
LCM(2297,2302) = ( 2297 × 2302) / 1
LCM(2297,2302) = 5287694 / 1
LCM(2297,2302) = 5287694
(i) The LCM of 2302 and 2297 is associative
LCM of 2297 and 2302 = LCM of 2302 and 2297
1. What is the LCM of 2297 and 2302?
Answer: LCM of 2297 and 2302 is 5287694.
2. What are the Factors of 2297?
Answer: Factors of 2297 are 1, 2297. There are 2 integers that are factors of 2297. The greatest factor of 2297 is 2297.
3. What are the Factors of 2302?
Answer: Factors of 2302 are 1, 2, 1151, 2302. There are 4 integers that are factors of 2302. The greatest factor of 2302 is 2302.
4. How to Find the LCM of 2297 and 2302?
Answer:
Least Common Multiple of 2297 and 2302 = 5287694
Step 1: Find the prime factorization of 2297
2297 = 2297
Step 2: Find the prime factorization of 2302
2302 = 2 x 1151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5287694 = 2 x 1151 x 2297
Step 4: Therefore, the least common multiple of 2297 and 2302 is 5287694.