Least Common Multiple of 7885 and 7889
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7885 and 7889 the smallest integer that is 62204765 that is divisible by both numbers.
Least Common Multiple (LCM) of 7885 and 7889 is 62204765.
LCM(7885,7889) = 62204765
LCM of 7885 and 7889
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7885 and 7889 by Prime method
- Least Common Multiple of 7885 and 7889 with GCF Formula
LCM of 7885 and 7889 is 62204765
Least common multiple can be found by multiplying the highest exponent prime factors of 7885 and 7889. First we will calculate the prime factors of 7885 and 7889.
Prime Factorization of 7885
| 5 | 7885 |
| 19 | 1577 |
| 83 | 83 |
| 1 |
Prime factors of 7885 are 5, 19,83. Prime factorization of 7885 in exponential form is:
7885 = 51×191×831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7885 and 7889.
LCM(7885,7889) = 51×73×191×231×831
LCM(7885,7889) = 62204765
Factors of 7885
List of positive integer factors of 7885 that divides 7885 without a remainder.
1, 5, 19, 83, 95, 415, 1577, 7885
Factors of 7889
List of positive integer factors of 7889 that divides 7889 without a remainder.
1, 7, 23, 49, 161, 343, 1127, 7889
Least Common Multiple of 7885 and 7889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7885 and 7889, than apply into the LCM equation.
GCF(7885,7889) = 1
LCM(7885,7889) = ( 7885 × 7889) / 1
LCM(7885,7889) = 62204765 / 1
LCM(7885,7889) = 62204765
Properties of LCM 7885 and 7889
(i) The LCM of 7889 and 7885 is associative
LCM of 7885 and 7889 = LCM of 7889 and 7885
Related Least Common Multiples of 7885
Related Least Common Multiples of 7889
Frequently Asked Questions on LCM of 7885 and 7889
1. What is the LCM of 7885 and 7889?
Answer: LCM of 7885 and 7889 is 62204765.
2. What are the Factors of 7885?
Answer: Factors of 7885 are 1, 5, 19, 83, 95, 415, 1577, 7885. There are 8 integers that are factors of 7885. The greatest factor of 7885 is 7885.
3. 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.
4. How to Find the LCM of 7885 and 7889?
Answer:
Least Common Multiple of 7885 and 7889 = 62204765
Step 1: Find the prime factorization of 7885
7885 = 5 x 19 x 83
Step 2: Find the prime factorization of 7889
7889 = 7 x 7 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62204765 = 5 x 7 x 7 x 7 x 19 x 23 x 83
Step 4: Therefore, the least common multiple of 7885 and 7889 is 62204765.