Least Common Multiple of 1846 and 1851
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1846 and 1851 the smallest integer that is 3416946 that is divisible by both numbers.
Least Common Multiple (LCM) of 1846 and 1851 is 3416946.
LCM(1846,1851) = 3416946
LCM of 1846 and 1851
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1846 and 1851 by Prime method
- Least Common Multiple of 1846 and 1851 with GCF Formula
LCM of 1846 and 1851 is 3416946
Least common multiple can be found by multiplying the highest exponent prime factors of 1846 and 1851. First we will calculate the prime factors of 1846 and 1851.
Prime Factorization of 1846
| 2 | 1846 |
| 13 | 923 |
| 71 | 71 |
| 1 |
Prime factors of 1846 are 2, 13,71. Prime factorization of 1846 in exponential form is:
1846 = 21×131×711
Prime Factorization of 1851
| 3 | 1851 |
| 617 | 617 |
| 1 |
Prime factors of 1851 are 3,617. Prime factorization of 1851 in exponential form is:
1851 = 31×6171
Now multiplying the highest exponent prime factors to calculate the LCM of 1846 and 1851.
LCM(1846,1851) = 21×31×131×711×6171
LCM(1846,1851) = 3416946
Factors of 1846
List of positive integer factors of 1846 that divides 1846 without a remainder.
1, 2, 13, 26, 71, 142, 923, 1846
Factors of 1851
List of positive integer factors of 1851 that divides 1851 without a remainder.
1, 3, 617, 1851
Least Common Multiple of 1846 and 1851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1846 and 1851, than apply into the LCM equation.
GCF(1846,1851) = 1
LCM(1846,1851) = ( 1846 × 1851) / 1
LCM(1846,1851) = 3416946 / 1
LCM(1846,1851) = 3416946
Properties of LCM 1846 and 1851
(i) The LCM of 1851 and 1846 is associative
LCM of 1846 and 1851 = LCM of 1851 and 1846
Related Least Common Multiples of 1846
Related Least Common Multiples of 1851
Frequently Asked Questions on LCM of 1846 and 1851
1. What is the LCM of 1846 and 1851?
Answer: LCM of 1846 and 1851 is 3416946.
2. What are the Factors of 1846?
Answer: Factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846. There are 8 integers that are factors of 1846. The greatest factor of 1846 is 1846.
3. What are the Factors of 1851?
Answer: Factors of 1851 are 1, 3, 617, 1851. There are 4 integers that are factors of 1851. The greatest factor of 1851 is 1851.
4. How to Find the LCM of 1846 and 1851?
Answer:
Least Common Multiple of 1846 and 1851 = 3416946
Step 1: Find the prime factorization of 1846
1846 = 2 x 13 x 71
Step 2: Find the prime factorization of 1851
1851 = 3 x 617
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3416946 = 2 x 3 x 13 x 71 x 617
Step 4: Therefore, the least common multiple of 1846 and 1851 is 3416946.