Least Common Multiple of 8851 and 8854
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8851 and 8854 the smallest integer that is 78366754 that is divisible by both numbers.
Least Common Multiple (LCM) of 8851 and 8854 is 78366754.
LCM(8851,8854) = 78366754
LCM of 8851 and 8854
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8851 and 8854 by Prime method
- Least Common Multiple of 8851 and 8854 with GCF Formula
LCM of 8851 and 8854 is 78366754
Least common multiple can be found by multiplying the highest exponent prime factors of 8851 and 8854. First we will calculate the prime factors of 8851 and 8854.
Prime Factorization of 8851
| 53 | 8851 |
| 167 | 167 |
| 1 |
Prime factors of 8851 are 53,167. Prime factorization of 8851 in exponential form is:
8851 = 531×1671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8851 and 8854.
LCM(8851,8854) = 21×191×531×1671×2331
LCM(8851,8854) = 78366754
Factors of 8851
List of positive integer factors of 8851 that divides 8851 without a remainder.
1, 53, 167, 8851
Factors of 8854
List of positive integer factors of 8854 that divides 8854 without a remainder.
1, 2, 19, 38, 233, 466, 4427, 8854
Least Common Multiple of 8851 and 8854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8851 and 8854, than apply into the LCM equation.
GCF(8851,8854) = 1
LCM(8851,8854) = ( 8851 × 8854) / 1
LCM(8851,8854) = 78366754 / 1
LCM(8851,8854) = 78366754
Properties of LCM 8851 and 8854
(i) The LCM of 8854 and 8851 is associative
LCM of 8851 and 8854 = LCM of 8854 and 8851
Related Least Common Multiples of 8851
Related Least Common Multiples of 8854
Frequently Asked Questions on LCM of 8851 and 8854
1. What is the LCM of 8851 and 8854?
Answer: LCM of 8851 and 8854 is 78366754.
2. What are the Factors of 8851?
Answer: Factors of 8851 are 1, 53, 167, 8851. There are 4 integers that are factors of 8851. The greatest factor of 8851 is 8851.
3. 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.
4. How to Find the LCM of 8851 and 8854?
Answer:
Least Common Multiple of 8851 and 8854 = 78366754
Step 1: Find the prime factorization of 8851
8851 = 53 x 167
Step 2: Find the prime factorization of 8854
8854 = 2 x 19 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78366754 = 2 x 19 x 53 x 167 x 233
Step 4: Therefore, the least common multiple of 8851 and 8854 is 78366754.