Least Common Multiple of 1851 and 1859
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1851 and 1859 the smallest integer that is 3441009 that is divisible by both numbers.
Least Common Multiple (LCM) of 1851 and 1859 is 3441009.
LCM(1851,1859) = 3441009
LCM of 1851 and 1859
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1851 and 1859 by Prime method
- Least Common Multiple of 1851 and 1859 with GCF Formula
LCM of 1851 and 1859 is 3441009
Least common multiple can be found by multiplying the highest exponent prime factors of 1851 and 1859. First we will calculate the prime factors of 1851 and 1859.
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
Prime Factorization of 1859
| 11 | 1859 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 1859 are 11,13. Prime factorization of 1859 in exponential form is:
1859 = 111×132
Now multiplying the highest exponent prime factors to calculate the LCM of 1851 and 1859.
LCM(1851,1859) = 31×111×132×6171
LCM(1851,1859) = 3441009
Factors of 1851
List of positive integer factors of 1851 that divides 1851 without a remainder.
1, 3, 617, 1851
Factors of 1859
List of positive integer factors of 1859 that divides 1859 without a remainder.
1, 11, 13, 143, 169, 1859
Least Common Multiple of 1851 and 1859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1851 and 1859, than apply into the LCM equation.
GCF(1851,1859) = 1
LCM(1851,1859) = ( 1851 × 1859) / 1
LCM(1851,1859) = 3441009 / 1
LCM(1851,1859) = 3441009
Properties of LCM 1851 and 1859
(i) The LCM of 1859 and 1851 is associative
LCM of 1851 and 1859 = LCM of 1859 and 1851
Related Least Common Multiples of 1851
Related Least Common Multiples of 1859
Frequently Asked Questions on LCM of 1851 and 1859
1. What is the LCM of 1851 and 1859?
Answer: LCM of 1851 and 1859 is 3441009.
2. 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.
3. What are the Factors of 1859?
Answer: Factors of 1859 are 1, 11, 13, 143, 169, 1859. There are 6 integers that are factors of 1859. The greatest factor of 1859 is 1859.
4. How to Find the LCM of 1851 and 1859?
Answer:
Least Common Multiple of 1851 and 1859 = 3441009
Step 1: Find the prime factorization of 1851
1851 = 3 x 617
Step 2: Find the prime factorization of 1859
1859 = 11 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3441009 = 3 x 11 x 13 x 13 x 617
Step 4: Therefore, the least common multiple of 1851 and 1859 is 3441009.