Least Common Multiple of 1817 and 1819
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1817 and 1819 the smallest integer that is 3305123 that is divisible by both numbers.
Least Common Multiple (LCM) of 1817 and 1819 is 3305123.
LCM(1817,1819) = 3305123
LCM of 1817 and 1819
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1817 and 1819 by Prime method
- Least Common Multiple of 1817 and 1819 with GCF Formula
LCM of 1817 and 1819 is 3305123
Least common multiple can be found by multiplying the highest exponent prime factors of 1817 and 1819. First we will calculate the prime factors of 1817 and 1819.
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
Prime Factorization of 1819
| 17 | 1819 |
| 107 | 107 |
| 1 |
Prime factors of 1819 are 17,107. Prime factorization of 1819 in exponential form is:
1819 = 171×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 1817 and 1819.
LCM(1817,1819) = 171×231×791×1071
LCM(1817,1819) = 3305123
Factors of 1817
List of positive integer factors of 1817 that divides 1817 without a remainder.
1, 23, 79, 1817
Factors of 1819
List of positive integer factors of 1819 that divides 1819 without a remainder.
1, 17, 107, 1819
Least Common Multiple of 1817 and 1819 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1817 and 1819, than apply into the LCM equation.
GCF(1817,1819) = 1
LCM(1817,1819) = ( 1817 × 1819) / 1
LCM(1817,1819) = 3305123 / 1
LCM(1817,1819) = 3305123
Properties of LCM 1817 and 1819
(i) The LCM of 1819 and 1817 is associative
LCM of 1817 and 1819 = LCM of 1819 and 1817
Related Least Common Multiples of 1817
Related Least Common Multiples of 1819
Frequently Asked Questions on LCM of 1817 and 1819
1. What is the LCM of 1817 and 1819?
Answer: LCM of 1817 and 1819 is 3305123.
2. 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.
3. What are the Factors of 1819?
Answer: Factors of 1819 are 1, 17, 107, 1819. There are 4 integers that are factors of 1819. The greatest factor of 1819 is 1819.
4. How to Find the LCM of 1817 and 1819?
Answer:
Least Common Multiple of 1817 and 1819 = 3305123
Step 1: Find the prime factorization of 1817
1817 = 23 x 79
Step 2: Find the prime factorization of 1819
1819 = 17 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3305123 = 17 x 23 x 79 x 107
Step 4: Therefore, the least common multiple of 1817 and 1819 is 3305123.
