Least Common Multiple of 845 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 845 and 851 the smallest integer that is 719095 that is divisible by both numbers.
Least Common Multiple (LCM) of 845 and 851 is 719095.
LCM(845,851) = 719095
LCM of 845 and 851
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 845 and 851 by Prime method
- Least Common Multiple of 845 and 851 with GCF Formula
LCM of 845 and 851 is 719095
Least common multiple can be found by multiplying the highest exponent prime factors of 845 and 851. First we will calculate the prime factors of 845 and 851.
Prime Factorization of 845
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 845 are 5,13. Prime factorization of 845 in exponential form is:
845 = 51×132
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 845 and 851.
LCM(845,851) = 51×132×231×371
LCM(845,851) = 719095
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Least Common Multiple of 845 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 845 and 851, than apply into the LCM equation.
GCF(845,851) = 1
LCM(845,851) = ( 845 × 851) / 1
LCM(845,851) = 719095 / 1
LCM(845,851) = 719095
Properties of LCM 845 and 851
(i) The LCM of 851 and 845 is associative
LCM of 845 and 851 = LCM of 851 and 845
Related Least Common Multiples of 845
Related Least Common Multiples of 851
Frequently Asked Questions on LCM of 845 and 851
1. What is the LCM of 845 and 851?
Answer: LCM of 845 and 851 is 719095.
2. What are the Factors of 845?
Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.
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 845 and 851?
Answer:
Least Common Multiple of 845 and 851 = 719095
Step 1: Find the prime factorization of 845
845 = 5 x 13 x 13
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 = 719095 = 5 x 13 x 13 x 23 x 37
Step 4: Therefore, the least common multiple of 845 and 851 is 719095.
