Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2897 and 2902 the smallest integer that is 8407094 that is divisible by both numbers.
Least Common Multiple (LCM) of 2897 and 2902 is 8407094.
LCM(2897,2902) = 8407094
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 2897 and 2902. First we will calculate the prime factors of 2897 and 2902.
Prime Factorization of 2897
2897 | 2897 |
1 |
Prime factors of 2897 are 2897. Prime factorization of 2897 in exponential form is:
2897 = 28971
Prime Factorization of 2902
2 | 2902 |
1451 | 1451 |
1 |
Prime factors of 2902 are 2,1451. Prime factorization of 2902 in exponential form is:
2902 = 21×14511
Now multiplying the highest exponent prime factors to calculate the LCM of 2897 and 2902.
LCM(2897,2902) = 21×14511×28971
LCM(2897,2902) = 8407094
Factors of 2897
List of positive integer factors of 2897 that divides 2897 without a remainder.
1, 2897
Factors of 2902
List of positive integer factors of 2902 that divides 2902 without a remainder.
1, 2, 1451, 2902
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2897 and 2902, than apply into the LCM equation.
GCF(2897,2902) = 1
LCM(2897,2902) = ( 2897 × 2902) / 1
LCM(2897,2902) = 8407094 / 1
LCM(2897,2902) = 8407094
(i) The LCM of 2902 and 2897 is associative
LCM of 2897 and 2902 = LCM of 2902 and 2897
1. What is the LCM of 2897 and 2902?
Answer: LCM of 2897 and 2902 is 8407094.
2. What are the Factors of 2897?
Answer: Factors of 2897 are 1, 2897. There are 2 integers that are factors of 2897. The greatest factor of 2897 is 2897.
3. What are the Factors of 2902?
Answer: Factors of 2902 are 1, 2, 1451, 2902. There are 4 integers that are factors of 2902. The greatest factor of 2902 is 2902.
4. How to Find the LCM of 2897 and 2902?
Answer:
Least Common Multiple of 2897 and 2902 = 8407094
Step 1: Find the prime factorization of 2897
2897 = 2897
Step 2: Find the prime factorization of 2902
2902 = 2 x 1451
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8407094 = 2 x 1451 x 2897
Step 4: Therefore, the least common multiple of 2897 and 2902 is 8407094.