Least Common Multiple of 7897 and 7903
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 7903 the smallest integer that is 62409991 that is divisible by both numbers.
Least Common Multiple (LCM) of 7897 and 7903 is 62409991.
LCM(7897,7903) = 62409991
LCM of 7897 and 7903
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7897 and 7903 by Prime method
- Least Common Multiple of 7897 and 7903 with GCF Formula
LCM of 7897 and 7903 is 62409991
Least common multiple can be found by multiplying the highest exponent prime factors of 7897 and 7903. First we will calculate the prime factors of 7897 and 7903.
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 7903
| 7 | 7903 |
| 1129 | 1129 |
| 1 |
Prime factors of 7903 are 7,1129. Prime factorization of 7903 in exponential form is:
7903 = 71×11291
Now multiplying the highest exponent prime factors to calculate the LCM of 7897 and 7903.
LCM(7897,7903) = 71×531×1491×11291
LCM(7897,7903) = 62409991
Factors of 7897
List of positive integer factors of 7897 that divides 7897 without a remainder.
1, 53, 149, 7897
Factors of 7903
List of positive integer factors of 7903 that divides 7903 without a remainder.
1, 7, 1129, 7903
Least Common Multiple of 7897 and 7903 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 7903, than apply into the LCM equation.
GCF(7897,7903) = 1
LCM(7897,7903) = ( 7897 × 7903) / 1
LCM(7897,7903) = 62409991 / 1
LCM(7897,7903) = 62409991
Properties of LCM 7897 and 7903
(i) The LCM of 7903 and 7897 is associative
LCM of 7897 and 7903 = LCM of 7903 and 7897
Related Least Common Multiples of 7897
Related Least Common Multiples of 7903
Frequently Asked Questions on LCM of 7897 and 7903
1. What is the LCM of 7897 and 7903?
Answer: LCM of 7897 and 7903 is 62409991.
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 7903?
Answer: Factors of 7903 are 1, 7, 1129, 7903. There are 4 integers that are factors of 7903. The greatest factor of 7903 is 7903.
4. How to Find the LCM of 7897 and 7903?
Answer:
Least Common Multiple of 7897 and 7903 = 62409991
Step 1: Find the prime factorization of 7897
7897 = 53 x 149
Step 2: Find the prime factorization of 7903
7903 = 7 x 1129
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62409991 = 7 x 53 x 149 x 1129
Step 4: Therefore, the least common multiple of 7897 and 7903 is 62409991.