Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1818 and 1823 the smallest integer that is 3314214 that is divisible by both numbers.
Least Common Multiple (LCM) of 1818 and 1823 is 3314214.
LCM(1818,1823) = 3314214
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 1818 and 1823. First we will calculate the prime factors of 1818 and 1823.
Prime Factorization of 1818
2 | 1818 |
3 | 909 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 1818 are 2, 3,101. Prime factorization of 1818 in exponential form is:
1818 = 21×32×1011
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 1818 and 1823.
LCM(1818,1823) = 21×32×1011×18231
LCM(1818,1823) = 3314214
Factors of 1818
List of positive integer factors of 1818 that divides 1818 without a remainder.
1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818
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 1818 and 1823, than apply into the LCM equation.
GCF(1818,1823) = 1
LCM(1818,1823) = ( 1818 × 1823) / 1
LCM(1818,1823) = 3314214 / 1
LCM(1818,1823) = 3314214
(i) The LCM of 1823 and 1818 is associative
LCM of 1818 and 1823 = LCM of 1823 and 1818
1. What is the LCM of 1818 and 1823?
Answer: LCM of 1818 and 1823 is 3314214.
2. What are the Factors of 1818?
Answer: Factors of 1818 are 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818. There are 12 integers that are factors of 1818. The greatest factor of 1818 is 1818.
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 1818 and 1823?
Answer:
Least Common Multiple of 1818 and 1823 = 3314214
Step 1: Find the prime factorization of 1818
1818 = 2 x 3 x 3 x 101
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 = 3314214 = 2 x 3 x 3 x 101 x 1823
Step 4: Therefore, the least common multiple of 1818 and 1823 is 3314214.