Least Common Multiple of 7897 and 7905
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7897 and 7905 the smallest integer that is 62425785 that is divisible by both numbers.
Least Common Multiple (LCM) of 7897 and 7905 is 62425785.
LCM(7897,7905) = 62425785
LCM of 7897 and 7905
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7897 and 7905 by Prime method
- Least Common Multiple of 7897 and 7905 with GCF Formula
LCM of 7897 and 7905 is 62425785
Least common multiple can be found by multiplying the highest exponent prime factors of 7897 and 7905. First we will calculate the prime factors of 7897 and 7905.
Prime Factorization of 7897
| 53 | 7897 |
| 149 | 149 |
| 1 |
Prime factors of 7897 are 53,149. Prime factorization of 7897 in exponential form is:
7897 = 531×1491
Prime Factorization of 7905
| 3 | 7905 |
| 5 | 2635 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 7905 are 3, 5, 17,31. Prime factorization of 7905 in exponential form is:
7905 = 31×51×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 7897 and 7905.
LCM(7897,7905) = 31×51×171×311×531×1491
LCM(7897,7905) = 62425785
Factors of 7897
List of positive integer factors of 7897 that divides 7897 without a remainder.
1, 53, 149, 7897
Factors of 7905
List of positive integer factors of 7905 that divides 7905 without a remainder.
1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
Least Common Multiple of 7897 and 7905 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7897 and 7905, than apply into the LCM equation.
GCF(7897,7905) = 1
LCM(7897,7905) = ( 7897 × 7905) / 1
LCM(7897,7905) = 62425785 / 1
LCM(7897,7905) = 62425785
Properties of LCM 7897 and 7905
(i) The LCM of 7905 and 7897 is associative
LCM of 7897 and 7905 = LCM of 7905 and 7897
Related Least Common Multiples of 7897
Related Least Common Multiples of 7905
Frequently Asked Questions on LCM of 7897 and 7905
1. What is the LCM of 7897 and 7905?
Answer: LCM of 7897 and 7905 is 62425785.
2. What are the Factors of 7897?
Answer: Factors of 7897 are 1, 53, 149, 7897. There are 4 integers that are factors of 7897. The greatest factor of 7897 is 7897.
3. What are the Factors of 7905?
Answer: Factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905. There are 16 integers that are factors of 7905. The greatest factor of 7905 is 7905.
4. How to Find the LCM of 7897 and 7905?
Answer:
Least Common Multiple of 7897 and 7905 = 62425785
Step 1: Find the prime factorization of 7897
7897 = 53 x 149
Step 2: Find the prime factorization of 7905
7905 = 3 x 5 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62425785 = 3 x 5 x 17 x 31 x 53 x 149
Step 4: Therefore, the least common multiple of 7897 and 7905 is 62425785.