Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1811 and 1814 the smallest integer that is 3285154 that is divisible by both numbers.
Least Common Multiple (LCM) of 1811 and 1814 is 3285154.
LCM(1811,1814) = 3285154
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1811 and 1814. First we will calculate the prime factors of 1811 and 1814.
Prime Factorization of 1811
1811 | 1811 |
1 |
Prime factors of 1811 are 1811. Prime factorization of 1811 in exponential form is:
1811 = 18111
Prime Factorization of 1814
2 | 1814 |
907 | 907 |
1 |
Prime factors of 1814 are 2,907. Prime factorization of 1814 in exponential form is:
1814 = 21×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 1811 and 1814.
LCM(1811,1814) = 21×9071×18111
LCM(1811,1814) = 3285154
Factors of 1811
List of positive integer factors of 1811 that divides 1811 without a remainder.
1, 1811
Factors of 1814
List of positive integer factors of 1814 that divides 1814 without a remainder.
1, 2, 907, 1814
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1811 and 1814, than apply into the LCM equation.
GCF(1811,1814) = 1
LCM(1811,1814) = ( 1811 × 1814) / 1
LCM(1811,1814) = 3285154 / 1
LCM(1811,1814) = 3285154
(i) The LCM of 1814 and 1811 is associative
LCM of 1811 and 1814 = LCM of 1814 and 1811
1. What is the LCM of 1811 and 1814?
Answer: LCM of 1811 and 1814 is 3285154.
2. What are the Factors of 1811?
Answer: Factors of 1811 are 1, 1811. There are 2 integers that are factors of 1811. The greatest factor of 1811 is 1811.
3. What are the Factors of 1814?
Answer: Factors of 1814 are 1, 2, 907, 1814. There are 4 integers that are factors of 1814. The greatest factor of 1814 is 1814.
4. How to Find the LCM of 1811 and 1814?
Answer:
Least Common Multiple of 1811 and 1814 = 3285154
Step 1: Find the prime factorization of 1811
1811 = 1811
Step 2: Find the prime factorization of 1814
1814 = 2 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3285154 = 2 x 907 x 1811
Step 4: Therefore, the least common multiple of 1811 and 1814 is 3285154.