Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1813 and 1819 the smallest integer that is 3297847 that is divisible by both numbers.
Least Common Multiple (LCM) of 1813 and 1819 is 3297847.
LCM(1813,1819) = 3297847
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 1813 and 1819. First we will calculate the prime factors of 1813 and 1819.
Prime Factorization of 1813
7 | 1813 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 1813 are 7,37. Prime factorization of 1813 in exponential form is:
1813 = 72×371
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 1813 and 1819.
LCM(1813,1819) = 72×171×371×1071
LCM(1813,1819) = 3297847
Factors of 1813
List of positive integer factors of 1813 that divides 1813 without a remainder.
1, 7, 37, 49, 259, 1813
Factors of 1819
List of positive integer factors of 1819 that divides 1819 without a remainder.
1, 17, 107, 1819
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1813 and 1819, than apply into the LCM equation.
GCF(1813,1819) = 1
LCM(1813,1819) = ( 1813 × 1819) / 1
LCM(1813,1819) = 3297847 / 1
LCM(1813,1819) = 3297847
(i) The LCM of 1819 and 1813 is associative
LCM of 1813 and 1819 = LCM of 1819 and 1813
1. What is the LCM of 1813 and 1819?
Answer: LCM of 1813 and 1819 is 3297847.
2. What are the Factors of 1813?
Answer: Factors of 1813 are 1, 7, 37, 49, 259, 1813. There are 6 integers that are factors of 1813. The greatest factor of 1813 is 1813.
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 1813 and 1819?
Answer:
Least Common Multiple of 1813 and 1819 = 3297847
Step 1: Find the prime factorization of 1813
1813 = 7 x 7 x 37
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 = 3297847 = 7 x 7 x 17 x 37 x 107
Step 4: Therefore, the least common multiple of 1813 and 1819 is 3297847.