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 52904 the smallest integer that is 2798462888 that is divisible by both numbers.
Least Common Multiple (LCM) of 52897 and 52904 is 2798462888.
LCM(52897,52904) = 2798462888
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 52904. First we will calculate the prime factors of 52897 and 52904.
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 52904
2 | 52904 |
2 | 26452 |
2 | 13226 |
17 | 6613 |
389 | 389 |
1 |
Prime factors of 52904 are 2, 17,389. Prime factorization of 52904 in exponential form is:
52904 = 23×171×3891
Now multiplying the highest exponent prime factors to calculate the LCM of 52897 and 52904.
LCM(52897,52904) = 23×132×171×3131×3891
LCM(52897,52904) = 2798462888
Factors of 52897
List of positive integer factors of 52897 that divides 52897 without a remainder.
1, 13, 169, 313, 4069, 52897
Factors of 52904
List of positive integer factors of 52904 that divides 52904 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136, 389, 778, 1556, 3112, 6613, 13226, 26452, 52904
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52897 and 52904, than apply into the LCM equation.
GCF(52897,52904) = 1
LCM(52897,52904) = ( 52897 × 52904) / 1
LCM(52897,52904) = 2798462888 / 1
LCM(52897,52904) = 2798462888
(i) The LCM of 52904 and 52897 is associative
LCM of 52897 and 52904 = LCM of 52904 and 52897
1. What is the LCM of 52897 and 52904?
Answer: LCM of 52897 and 52904 is 2798462888.
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 52904?
Answer: Factors of 52904 are 1, 2, 4, 8, 17, 34, 68, 136, 389, 778, 1556, 3112, 6613, 13226, 26452, 52904. There are 16 integers that are factors of 52904. The greatest factor of 52904 is 52904.
4. How to Find the LCM of 52897 and 52904?
Answer:
Least Common Multiple of 52897 and 52904 = 2798462888
Step 1: Find the prime factorization of 52897
52897 = 13 x 13 x 313
Step 2: Find the prime factorization of 52904
52904 = 2 x 2 x 2 x 17 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2798462888 = 2 x 2 x 2 x 13 x 13 x 17 x 313 x 389
Step 4: Therefore, the least common multiple of 52897 and 52904 is 2798462888.