Least Common Multiple of 8854 and 8859
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8854 and 8859 the smallest integer that is 78437586 that is divisible by both numbers.
Least Common Multiple (LCM) of 8854 and 8859 is 78437586.
LCM(8854,8859) = 78437586
LCM of 8854 and 8859
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8854 and 8859 by Prime method
- Least Common Multiple of 8854 and 8859 with GCF Formula
LCM of 8854 and 8859 is 78437586
Least common multiple can be found by multiplying the highest exponent prime factors of 8854 and 8859. First we will calculate the prime factors of 8854 and 8859.
Prime Factorization of 8854
| 2 | 8854 |
| 19 | 4427 |
| 233 | 233 |
| 1 |
Prime factors of 8854 are 2, 19,233. Prime factorization of 8854 in exponential form is:
8854 = 21×191×2331
Prime Factorization of 8859
| 3 | 8859 |
| 2953 | 2953 |
| 1 |
Prime factors of 8859 are 3,2953. Prime factorization of 8859 in exponential form is:
8859 = 31×29531
Now multiplying the highest exponent prime factors to calculate the LCM of 8854 and 8859.
LCM(8854,8859) = 21×31×191×2331×29531
LCM(8854,8859) = 78437586
Factors of 8854
List of positive integer factors of 8854 that divides 8854 without a remainder.
1, 2, 19, 38, 233, 466, 4427, 8854
Factors of 8859
List of positive integer factors of 8859 that divides 8859 without a remainder.
1, 3, 2953, 8859
Least Common Multiple of 8854 and 8859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8854 and 8859, than apply into the LCM equation.
GCF(8854,8859) = 1
LCM(8854,8859) = ( 8854 × 8859) / 1
LCM(8854,8859) = 78437586 / 1
LCM(8854,8859) = 78437586
Properties of LCM 8854 and 8859
(i) The LCM of 8859 and 8854 is associative
LCM of 8854 and 8859 = LCM of 8859 and 8854
Related Least Common Multiples of 8854
Related Least Common Multiples of 8859
Frequently Asked Questions on LCM of 8854 and 8859
1. What is the LCM of 8854 and 8859?
Answer: LCM of 8854 and 8859 is 78437586.
2. What are the Factors of 8854?
Answer: Factors of 8854 are 1, 2, 19, 38, 233, 466, 4427, 8854. There are 8 integers that are factors of 8854. The greatest factor of 8854 is 8854.
3. What are the Factors of 8859?
Answer: Factors of 8859 are 1, 3, 2953, 8859. There are 4 integers that are factors of 8859. The greatest factor of 8859 is 8859.
4. How to Find the LCM of 8854 and 8859?
Answer:
Least Common Multiple of 8854 and 8859 = 78437586
Step 1: Find the prime factorization of 8854
8854 = 2 x 19 x 233
Step 2: Find the prime factorization of 8859
8859 = 3 x 2953
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78437586 = 2 x 3 x 19 x 233 x 2953
Step 4: Therefore, the least common multiple of 8854 and 8859 is 78437586.