Least Common Multiple of 8858 and 8865
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8858 and 8865 the smallest integer that is 78526170 that is divisible by both numbers.
Least Common Multiple (LCM) of 8858 and 8865 is 78526170.
LCM(8858,8865) = 78526170
LCM of 8858 and 8865
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8858 and 8865 by Prime method
- Least Common Multiple of 8858 and 8865 with GCF Formula
LCM of 8858 and 8865 is 78526170
Least common multiple can be found by multiplying the highest exponent prime factors of 8858 and 8865. First we will calculate the prime factors of 8858 and 8865.
Prime Factorization of 8858
| 2 | 8858 |
| 43 | 4429 |
| 103 | 103 |
| 1 |
Prime factors of 8858 are 2, 43,103. Prime factorization of 8858 in exponential form is:
8858 = 21×431×1031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8858 and 8865.
LCM(8858,8865) = 21×32×51×431×1031×1971
LCM(8858,8865) = 78526170
Factors of 8858
List of positive integer factors of 8858 that divides 8858 without a remainder.
1, 2, 43, 86, 103, 206, 4429, 8858
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
Least Common Multiple of 8858 and 8865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8858 and 8865, than apply into the LCM equation.
GCF(8858,8865) = 1
LCM(8858,8865) = ( 8858 × 8865) / 1
LCM(8858,8865) = 78526170 / 1
LCM(8858,8865) = 78526170
Properties of LCM 8858 and 8865
(i) The LCM of 8865 and 8858 is associative
LCM of 8858 and 8865 = LCM of 8865 and 8858
Related Least Common Multiples of 8858
Related Least Common Multiples of 8865
Frequently Asked Questions on LCM of 8858 and 8865
1. What is the LCM of 8858 and 8865?
Answer: LCM of 8858 and 8865 is 78526170.
2. What are the Factors of 8858?
Answer: Factors of 8858 are 1, 2, 43, 86, 103, 206, 4429, 8858. There are 8 integers that are factors of 8858. The greatest factor of 8858 is 8858.
3. 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.
4. How to Find the LCM of 8858 and 8865?
Answer:
Least Common Multiple of 8858 and 8865 = 78526170
Step 1: Find the prime factorization of 8858
8858 = 2 x 43 x 103
Step 2: Find the prime factorization of 8865
8865 = 3 x 3 x 5 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78526170 = 2 x 3 x 3 x 5 x 43 x 103 x 197
Step 4: Therefore, the least common multiple of 8858 and 8865 is 78526170.