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 1823 the smallest integer that is 3310568 that is divisible by both numbers.
Least Common Multiple (LCM) of 1816 and 1823 is 3310568.
LCM(1816,1823) = 3310568
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 1823. First we will calculate the prime factors of 1816 and 1823.
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 1823
1823 | 1823 |
1 |
Prime factors of 1823 are 1823. Prime factorization of 1823 in exponential form is:
1823 = 18231
Now multiplying the highest exponent prime factors to calculate the LCM of 1816 and 1823.
LCM(1816,1823) = 23×2271×18231
LCM(1816,1823) = 3310568
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 1823
List of positive integer factors of 1823 that divides 1823 without a remainder.
1, 1823
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1816 and 1823, than apply into the LCM equation.
GCF(1816,1823) = 1
LCM(1816,1823) = ( 1816 × 1823) / 1
LCM(1816,1823) = 3310568 / 1
LCM(1816,1823) = 3310568
(i) The LCM of 1823 and 1816 is associative
LCM of 1816 and 1823 = LCM of 1823 and 1816
1. What is the LCM of 1816 and 1823?
Answer: LCM of 1816 and 1823 is 3310568.
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 1823?
Answer: Factors of 1823 are 1, 1823. There are 2 integers that are factors of 1823. The greatest factor of 1823 is 1823.
4. How to Find the LCM of 1816 and 1823?
Answer:
Least Common Multiple of 1816 and 1823 = 3310568
Step 1: Find the prime factorization of 1816
1816 = 2 x 2 x 2 x 227
Step 2: Find the prime factorization of 1823
1823 = 1823
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3310568 = 2 x 2 x 2 x 227 x 1823
Step 4: Therefore, the least common multiple of 1816 and 1823 is 3310568.