Least Common Multiple of 8858 and 8863
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 8863 the smallest integer that is 78508454 that is divisible by both numbers.
Least Common Multiple (LCM) of 8858 and 8863 is 78508454.
LCM(8858,8863) = 78508454
LCM of 8858 and 8863
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8858 and 8863 by Prime method
- Least Common Multiple of 8858 and 8863 with GCF Formula
LCM of 8858 and 8863 is 78508454
Least common multiple can be found by multiplying the highest exponent prime factors of 8858 and 8863. First we will calculate the prime factors of 8858 and 8863.
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 8863
| 8863 | 8863 |
| 1 |
Prime factors of 8863 are 8863. Prime factorization of 8863 in exponential form is:
8863 = 88631
Now multiplying the highest exponent prime factors to calculate the LCM of 8858 and 8863.
LCM(8858,8863) = 21×431×1031×88631
LCM(8858,8863) = 78508454
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 8863
List of positive integer factors of 8863 that divides 8863 without a remainder.
1, 8863
Least Common Multiple of 8858 and 8863 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 8863, than apply into the LCM equation.
GCF(8858,8863) = 1
LCM(8858,8863) = ( 8858 × 8863) / 1
LCM(8858,8863) = 78508454 / 1
LCM(8858,8863) = 78508454
Properties of LCM 8858 and 8863
(i) The LCM of 8863 and 8858 is associative
LCM of 8858 and 8863 = LCM of 8863 and 8858
Related Least Common Multiples of 8858
Related Least Common Multiples of 8863
Frequently Asked Questions on LCM of 8858 and 8863
1. What is the LCM of 8858 and 8863?
Answer: LCM of 8858 and 8863 is 78508454.
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 8863?
Answer: Factors of 8863 are 1, 8863. There are 2 integers that are factors of 8863. The greatest factor of 8863 is 8863.
4. How to Find the LCM of 8858 and 8863?
Answer:
Least Common Multiple of 8858 and 8863 = 78508454
Step 1: Find the prime factorization of 8858
8858 = 2 x 43 x 103
Step 2: Find the prime factorization of 8863
8863 = 8863
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78508454 = 2 x 43 x 103 x 8863
Step 4: Therefore, the least common multiple of 8858 and 8863 is 78508454.