Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 52897 and 52902 the smallest integer that is 2798357094 that is divisible by both numbers.
Least Common Multiple (LCM) of 52897 and 52902 is 2798357094.
LCM(52897,52902) = 2798357094
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 52897 and 52902. First we will calculate the prime factors of 52897 and 52902.
Prime Factorization of 52897
13 | 52897 |
13 | 4069 |
313 | 313 |
1 |
Prime factors of 52897 are 13,313. Prime factorization of 52897 in exponential form is:
52897 = 132×3131
Prime Factorization of 52902
2 | 52902 |
3 | 26451 |
3 | 8817 |
2939 | 2939 |
1 |
Prime factors of 52902 are 2, 3,2939. Prime factorization of 52902 in exponential form is:
52902 = 21×32×29391
Now multiplying the highest exponent prime factors to calculate the LCM of 52897 and 52902.
LCM(52897,52902) = 21×32×132×3131×29391
LCM(52897,52902) = 2798357094
Factors of 52897
List of positive integer factors of 52897 that divides 52897 without a remainder.
1, 13, 169, 313, 4069, 52897
Factors of 52902
List of positive integer factors of 52902 that divides 52902 without a remainder.
1, 2, 3, 6, 9, 18, 2939, 5878, 8817, 17634, 26451, 52902
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52897 and 52902, than apply into the LCM equation.
GCF(52897,52902) = 1
LCM(52897,52902) = ( 52897 × 52902) / 1
LCM(52897,52902) = 2798357094 / 1
LCM(52897,52902) = 2798357094
(i) The LCM of 52902 and 52897 is associative
LCM of 52897 and 52902 = LCM of 52902 and 52897
1. What is the LCM of 52897 and 52902?
Answer: LCM of 52897 and 52902 is 2798357094.
2. What are the Factors of 52897?
Answer: Factors of 52897 are 1, 13, 169, 313, 4069, 52897. There are 6 integers that are factors of 52897. The greatest factor of 52897 is 52897.
3. What are the Factors of 52902?
Answer: Factors of 52902 are 1, 2, 3, 6, 9, 18, 2939, 5878, 8817, 17634, 26451, 52902. There are 12 integers that are factors of 52902. The greatest factor of 52902 is 52902.
4. How to Find the LCM of 52897 and 52902?
Answer:
Least Common Multiple of 52897 and 52902 = 2798357094
Step 1: Find the prime factorization of 52897
52897 = 13 x 13 x 313
Step 2: Find the prime factorization of 52902
52902 = 2 x 3 x 3 x 2939
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2798357094 = 2 x 3 x 3 x 13 x 13 x 313 x 2939
Step 4: Therefore, the least common multiple of 52897 and 52902 is 2798357094.