Least Common Multiple of 7889 and 7897
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7889 and 7897 the smallest integer that is 62299433 that is divisible by both numbers.
Least Common Multiple (LCM) of 7889 and 7897 is 62299433.
LCM(7889,7897) = 62299433
LCM of 7889 and 7897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7889 and 7897 by Prime method
- Least Common Multiple of 7889 and 7897 with GCF Formula
LCM of 7889 and 7897 is 62299433
Least common multiple can be found by multiplying the highest exponent prime factors of 7889 and 7897. First we will calculate the prime factors of 7889 and 7897.
Prime Factorization of 7889
| 7 | 7889 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 7889 are 7,23. Prime factorization of 7889 in exponential form is:
7889 = 73×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7889 and 7897.
LCM(7889,7897) = 73×231×531×1491
LCM(7889,7897) = 62299433
Factors of 7889
List of positive integer factors of 7889 that divides 7889 without a remainder.
1, 7, 23, 49, 161, 343, 1127, 7889
Factors of 7897
List of positive integer factors of 7897 that divides 7897 without a remainder.
1, 53, 149, 7897
Least Common Multiple of 7889 and 7897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7889 and 7897, than apply into the LCM equation.
GCF(7889,7897) = 1
LCM(7889,7897) = ( 7889 × 7897) / 1
LCM(7889,7897) = 62299433 / 1
LCM(7889,7897) = 62299433
Properties of LCM 7889 and 7897
(i) The LCM of 7897 and 7889 is associative
LCM of 7889 and 7897 = LCM of 7897 and 7889
Related Least Common Multiples of 7889
Related Least Common Multiples of 7897
Frequently Asked Questions on LCM of 7889 and 7897
1. What is the LCM of 7889 and 7897?
Answer: LCM of 7889 and 7897 is 62299433.
2. What are the Factors of 7889?
Answer: Factors of 7889 are 1, 7, 23, 49, 161, 343, 1127, 7889. There are 8 integers that are factors of 7889. The greatest factor of 7889 is 7889.
3. 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.
4. How to Find the LCM of 7889 and 7897?
Answer:
Least Common Multiple of 7889 and 7897 = 62299433
Step 1: Find the prime factorization of 7889
7889 = 7 x 7 x 7 x 23
Step 2: Find the prime factorization of 7897
7897 = 53 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62299433 = 7 x 7 x 7 x 23 x 53 x 149
Step 4: Therefore, the least common multiple of 7889 and 7897 is 62299433.