Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1810 and 1817 the smallest integer that is 3288770 that is divisible by both numbers.
Least Common Multiple (LCM) of 1810 and 1817 is 3288770.
LCM(1810,1817) = 3288770
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 1810 and 1817. First we will calculate the prime factors of 1810 and 1817.
Prime Factorization of 1810
2 | 1810 |
5 | 905 |
181 | 181 |
1 |
Prime factors of 1810 are 2, 5,181. Prime factorization of 1810 in exponential form is:
1810 = 21×51×1811
Prime Factorization of 1817
23 | 1817 |
79 | 79 |
1 |
Prime factors of 1817 are 23,79. Prime factorization of 1817 in exponential form is:
1817 = 231×791
Now multiplying the highest exponent prime factors to calculate the LCM of 1810 and 1817.
LCM(1810,1817) = 21×51×231×791×1811
LCM(1810,1817) = 3288770
Factors of 1810
List of positive integer factors of 1810 that divides 1810 without a remainder.
1, 2, 5, 10, 181, 362, 905, 1810
Factors of 1817
List of positive integer factors of 1817 that divides 1817 without a remainder.
1, 23, 79, 1817
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1810 and 1817, than apply into the LCM equation.
GCF(1810,1817) = 1
LCM(1810,1817) = ( 1810 × 1817) / 1
LCM(1810,1817) = 3288770 / 1
LCM(1810,1817) = 3288770
(i) The LCM of 1817 and 1810 is associative
LCM of 1810 and 1817 = LCM of 1817 and 1810
1. What is the LCM of 1810 and 1817?
Answer: LCM of 1810 and 1817 is 3288770.
2. What are the Factors of 1810?
Answer: Factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810. There are 8 integers that are factors of 1810. The greatest factor of 1810 is 1810.
3. What are the Factors of 1817?
Answer: Factors of 1817 are 1, 23, 79, 1817. There are 4 integers that are factors of 1817. The greatest factor of 1817 is 1817.
4. How to Find the LCM of 1810 and 1817?
Answer:
Least Common Multiple of 1810 and 1817 = 3288770
Step 1: Find the prime factorization of 1810
1810 = 2 x 5 x 181
Step 2: Find the prime factorization of 1817
1817 = 23 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3288770 = 2 x 5 x 23 x 79 x 181
Step 4: Therefore, the least common multiple of 1810 and 1817 is 3288770.