Least Common Multiple of 854 and 861
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 854 and 861 the smallest integer that is 105042 that is divisible by both numbers.
Least Common Multiple (LCM) of 854 and 861 is 105042.
LCM(854,861) = 105042
LCM of 854 and 861
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 854 and 861 by Prime method
- Least Common Multiple of 854 and 861 with GCF Formula
LCM of 854 and 861 is 105042
Least common multiple can be found by multiplying the highest exponent prime factors of 854 and 861. First we will calculate the prime factors of 854 and 861.
Prime Factorization of 854
| 2 | 854 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 854 are 2, 7,61. Prime factorization of 854 in exponential form is:
854 = 21×71×611
Prime Factorization of 861
| 3 | 861 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 861 are 3, 7,41. Prime factorization of 861 in exponential form is:
861 = 31×71×411
Now multiplying the highest exponent prime factors to calculate the LCM of 854 and 861.
LCM(854,861) = 21×31×71×411×611
LCM(854,861) = 105042
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Least Common Multiple of 854 and 861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 854 and 861, than apply into the LCM equation.
GCF(854,861) = 7
LCM(854,861) = ( 854 × 861) / 7
LCM(854,861) = 735294 / 7
LCM(854,861) = 105042
Properties of LCM 854 and 861
(i) The LCM of 861 and 854 is associative
LCM of 854 and 861 = LCM of 861 and 854
Related Least Common Multiples of 854
Related Least Common Multiples of 861
Frequently Asked Questions on LCM of 854 and 861
1. What is the LCM of 854 and 861?
Answer: LCM of 854 and 861 is 105042.
2. What are the Factors of 854?
Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.
3. What are the Factors of 861?
Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.
4. How to Find the LCM of 854 and 861?
Answer:
Least Common Multiple of 854 and 861 = 105042
Step 1: Find the prime factorization of 854
854 = 2 x 7 x 61
Step 2: Find the prime factorization of 861
861 = 3 x 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105042 = 2 x 3 x 7 x 41 x 61
Step 4: Therefore, the least common multiple of 854 and 861 is 105042.