Least Common Multiple of 846 and 851
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 846 and 851 the smallest integer that is 719946 that is divisible by both numbers.
Least Common Multiple (LCM) of 846 and 851 is 719946.
LCM(846,851) = 719946
LCM of 846 and 851
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 846 and 851 by Prime method
- Least Common Multiple of 846 and 851 with GCF Formula
LCM of 846 and 851 is 719946
Least common multiple can be found by multiplying the highest exponent prime factors of 846 and 851. First we will calculate the prime factors of 846 and 851.
Prime Factorization of 846
| 2 | 846 |
| 3 | 423 |
| 3 | 141 |
| 47 | 47 |
| 1 |
Prime factors of 846 are 2, 3,47. Prime factorization of 846 in exponential form is:
846 = 21×32×471
Prime Factorization of 851
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:
851 = 231×371
Now multiplying the highest exponent prime factors to calculate the LCM of 846 and 851.
LCM(846,851) = 21×32×231×371×471
LCM(846,851) = 719946
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Least Common Multiple of 846 and 851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 846 and 851, than apply into the LCM equation.
GCF(846,851) = 1
LCM(846,851) = ( 846 × 851) / 1
LCM(846,851) = 719946 / 1
LCM(846,851) = 719946
Properties of LCM 846 and 851
(i) The LCM of 851 and 846 is associative
LCM of 846 and 851 = LCM of 851 and 846
Related Least Common Multiples of 846
Related Least Common Multiples of 851
Frequently Asked Questions on LCM of 846 and 851
1. What is the LCM of 846 and 851?
Answer: LCM of 846 and 851 is 719946.
2. What are the Factors of 846?
Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.
3. What are the Factors of 851?
Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.
4. How to Find the LCM of 846 and 851?
Answer:
Least Common Multiple of 846 and 851 = 719946
Step 1: Find the prime factorization of 846
846 = 2 x 3 x 3 x 47
Step 2: Find the prime factorization of 851
851 = 23 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 719946 = 2 x 3 x 3 x 23 x 37 x 47
Step 4: Therefore, the least common multiple of 846 and 851 is 719946.
