Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1816 and 1821 the smallest integer that is 3306936 that is divisible by both numbers.
Least Common Multiple (LCM) of 1816 and 1821 is 3306936.
LCM(1816,1821) = 3306936
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 1816 and 1821. First we will calculate the prime factors of 1816 and 1821.
Prime Factorization of 1816
2 | 1816 |
2 | 908 |
2 | 454 |
227 | 227 |
1 |
Prime factors of 1816 are 2,227. Prime factorization of 1816 in exponential form is:
1816 = 23×2271
Prime Factorization of 1821
3 | 1821 |
607 | 607 |
1 |
Prime factors of 1821 are 3,607. Prime factorization of 1821 in exponential form is:
1821 = 31×6071
Now multiplying the highest exponent prime factors to calculate the LCM of 1816 and 1821.
LCM(1816,1821) = 23×31×2271×6071
LCM(1816,1821) = 3306936
Factors of 1816
List of positive integer factors of 1816 that divides 1816 without a remainder.
1, 2, 4, 8, 227, 454, 908, 1816
Factors of 1821
List of positive integer factors of 1821 that divides 1821 without a remainder.
1, 3, 607, 1821
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1816 and 1821, than apply into the LCM equation.
GCF(1816,1821) = 1
LCM(1816,1821) = ( 1816 × 1821) / 1
LCM(1816,1821) = 3306936 / 1
LCM(1816,1821) = 3306936
(i) The LCM of 1821 and 1816 is associative
LCM of 1816 and 1821 = LCM of 1821 and 1816
1. What is the LCM of 1816 and 1821?
Answer: LCM of 1816 and 1821 is 3306936.
2. What are the Factors of 1816?
Answer: Factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816. There are 8 integers that are factors of 1816. The greatest factor of 1816 is 1816.
3. What are the Factors of 1821?
Answer: Factors of 1821 are 1, 3, 607, 1821. There are 4 integers that are factors of 1821. The greatest factor of 1821 is 1821.
4. How to Find the LCM of 1816 and 1821?
Answer:
Least Common Multiple of 1816 and 1821 = 3306936
Step 1: Find the prime factorization of 1816
1816 = 2 x 2 x 2 x 227
Step 2: Find the prime factorization of 1821
1821 = 3 x 607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3306936 = 2 x 2 x 2 x 3 x 227 x 607
Step 4: Therefore, the least common multiple of 1816 and 1821 is 3306936.