Least Common Multiple of 8883 and 8885
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8883 and 8885 the smallest integer that is 78925455 that is divisible by both numbers.
Least Common Multiple (LCM) of 8883 and 8885 is 78925455.
LCM(8883,8885) = 78925455
LCM of 8883 and 8885
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8883 and 8885 by Prime method
- Least Common Multiple of 8883 and 8885 with GCF Formula
LCM of 8883 and 8885 is 78925455
Least common multiple can be found by multiplying the highest exponent prime factors of 8883 and 8885. First we will calculate the prime factors of 8883 and 8885.
Prime Factorization of 8883
| 3 | 8883 |
| 3 | 2961 |
| 3 | 987 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 8883 are 3, 7,47. Prime factorization of 8883 in exponential form is:
8883 = 33×71×471
Prime Factorization of 8885
| 5 | 8885 |
| 1777 | 1777 |
| 1 |
Prime factors of 8885 are 5,1777. Prime factorization of 8885 in exponential form is:
8885 = 51×17771
Now multiplying the highest exponent prime factors to calculate the LCM of 8883 and 8885.
LCM(8883,8885) = 33×51×71×471×17771
LCM(8883,8885) = 78925455
Factors of 8883
List of positive integer factors of 8883 that divides 8883 without a remainder.
1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
Factors of 8885
List of positive integer factors of 8885 that divides 8885 without a remainder.
1, 5, 1777, 8885
Least Common Multiple of 8883 and 8885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8883 and 8885, than apply into the LCM equation.
GCF(8883,8885) = 1
LCM(8883,8885) = ( 8883 × 8885) / 1
LCM(8883,8885) = 78925455 / 1
LCM(8883,8885) = 78925455
Properties of LCM 8883 and 8885
(i) The LCM of 8885 and 8883 is associative
LCM of 8883 and 8885 = LCM of 8885 and 8883
Related Least Common Multiples of 8883
Related Least Common Multiples of 8885
Frequently Asked Questions on LCM of 8883 and 8885
1. What is the LCM of 8883 and 8885?
Answer: LCM of 8883 and 8885 is 78925455.
2. What are the Factors of 8883?
Answer: Factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883. There are 16 integers that are factors of 8883. The greatest factor of 8883 is 8883.
3. What are the Factors of 8885?
Answer: Factors of 8885 are 1, 5, 1777, 8885. There are 4 integers that are factors of 8885. The greatest factor of 8885 is 8885.
4. How to Find the LCM of 8883 and 8885?
Answer:
Least Common Multiple of 8883 and 8885 = 78925455
Step 1: Find the prime factorization of 8883
8883 = 3 x 3 x 3 x 7 x 47
Step 2: Find the prime factorization of 8885
8885 = 5 x 1777
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78925455 = 3 x 3 x 3 x 5 x 7 x 47 x 1777
Step 4: Therefore, the least common multiple of 8883 and 8885 is 78925455.