Least Common Multiple of 8865 and 8870
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8865 and 8870 the smallest integer that is 15726510 that is divisible by both numbers.
Least Common Multiple (LCM) of 8865 and 8870 is 15726510.
LCM(8865,8870) = 15726510
LCM of 8865 and 8870
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8865 and 8870 by Prime method
- Least Common Multiple of 8865 and 8870 with GCF Formula
LCM of 8865 and 8870 is 15726510
Least common multiple can be found by multiplying the highest exponent prime factors of 8865 and 8870. First we will calculate the prime factors of 8865 and 8870.
Prime Factorization of 8865
| 3 | 8865 |
| 3 | 2955 |
| 5 | 985 |
| 197 | 197 |
| 1 |
Prime factors of 8865 are 3, 5,197. Prime factorization of 8865 in exponential form is:
8865 = 32×51×1971
Prime Factorization of 8870
| 2 | 8870 |
| 5 | 4435 |
| 887 | 887 |
| 1 |
Prime factors of 8870 are 2, 5,887. Prime factorization of 8870 in exponential form is:
8870 = 21×51×8871
Now multiplying the highest exponent prime factors to calculate the LCM of 8865 and 8870.
LCM(8865,8870) = 21×32×51×1971×8871
LCM(8865,8870) = 15726510
Factors of 8865
List of positive integer factors of 8865 that divides 8865 without a remainder.
1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865
Factors of 8870
List of positive integer factors of 8870 that divides 8870 without a remainder.
1, 2, 5, 10, 887, 1774, 4435, 8870
Least Common Multiple of 8865 and 8870 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8865 and 8870, than apply into the LCM equation.
GCF(8865,8870) = 5
LCM(8865,8870) = ( 8865 × 8870) / 5
LCM(8865,8870) = 78632550 / 5
LCM(8865,8870) = 15726510
Properties of LCM 8865 and 8870
(i) The LCM of 8870 and 8865 is associative
LCM of 8865 and 8870 = LCM of 8870 and 8865
Related Least Common Multiples of 8865
Related Least Common Multiples of 8870
Frequently Asked Questions on LCM of 8865 and 8870
1. What is the LCM of 8865 and 8870?
Answer: LCM of 8865 and 8870 is 15726510.
2. What are the Factors of 8865?
Answer: Factors of 8865 are 1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865. There are 12 integers that are factors of 8865. The greatest factor of 8865 is 8865.
3. What are the Factors of 8870?
Answer: Factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870. There are 8 integers that are factors of 8870. The greatest factor of 8870 is 8870.
4. How to Find the LCM of 8865 and 8870?
Answer:
Least Common Multiple of 8865 and 8870 = 15726510
Step 1: Find the prime factorization of 8865
8865 = 3 x 3 x 5 x 197
Step 2: Find the prime factorization of 8870
8870 = 2 x 5 x 887
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15726510 = 2 x 3 x 3 x 5 x 197 x 887
Step 4: Therefore, the least common multiple of 8865 and 8870 is 15726510.