Least Common Multiple of 7885 and 7890
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 7890 the smallest integer that is 12442530 that is divisible by both numbers.
Least Common Multiple (LCM) of 7885 and 7890 is 12442530.
LCM(7885,7890) = 12442530
LCM of 7885 and 7890
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7885 and 7890 by Prime method
- Least Common Multiple of 7885 and 7890 with GCF Formula
LCM of 7885 and 7890 is 12442530
Least common multiple can be found by multiplying the highest exponent prime factors of 7885 and 7890. First we will calculate the prime factors of 7885 and 7890.
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 7890
| 2 | 7890 |
| 3 | 3945 |
| 5 | 1315 |
| 263 | 263 |
| 1 |
Prime factors of 7890 are 2, 3, 5,263. Prime factorization of 7890 in exponential form is:
7890 = 21×31×51×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 7885 and 7890.
LCM(7885,7890) = 21×31×51×191×831×2631
LCM(7885,7890) = 12442530
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 7890
List of positive integer factors of 7890 that divides 7890 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
Least Common Multiple of 7885 and 7890 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 7890, than apply into the LCM equation.
GCF(7885,7890) = 5
LCM(7885,7890) = ( 7885 × 7890) / 5
LCM(7885,7890) = 62212650 / 5
LCM(7885,7890) = 12442530
Properties of LCM 7885 and 7890
(i) The LCM of 7890 and 7885 is associative
LCM of 7885 and 7890 = LCM of 7890 and 7885
Related Least Common Multiples of 7885
Related Least Common Multiples of 7890
Frequently Asked Questions on LCM of 7885 and 7890
1. What is the LCM of 7885 and 7890?
Answer: LCM of 7885 and 7890 is 12442530.
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 7890?
Answer: Factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890. There are 16 integers that are factors of 7890. The greatest factor of 7890 is 7890.
4. How to Find the LCM of 7885 and 7890?
Answer:
Least Common Multiple of 7885 and 7890 = 12442530
Step 1: Find the prime factorization of 7885
7885 = 5 x 19 x 83
Step 2: Find the prime factorization of 7890
7890 = 2 x 3 x 5 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12442530 = 2 x 3 x 5 x 19 x 83 x 263
Step 4: Therefore, the least common multiple of 7885 and 7890 is 12442530.