Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1815 and 1818 the smallest integer that is 1099890 that is divisible by both numbers.
Least Common Multiple (LCM) of 1815 and 1818 is 1099890.
LCM(1815,1818) = 1099890
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 1815 and 1818. First we will calculate the prime factors of 1815 and 1818.
Prime Factorization of 1815
3 | 1815 |
5 | 605 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 1815 are 3, 5,11. Prime factorization of 1815 in exponential form is:
1815 = 31×51×112
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1815 and 1818.
LCM(1815,1818) = 21×32×51×112×1011
LCM(1815,1818) = 1099890
Factors of 1815
List of positive integer factors of 1815 that divides 1815 without a remainder.
1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1815 and 1818, than apply into the LCM equation.
GCF(1815,1818) = 3
LCM(1815,1818) = ( 1815 × 1818) / 3
LCM(1815,1818) = 3299670 / 3
LCM(1815,1818) = 1099890
(i) The LCM of 1818 and 1815 is associative
LCM of 1815 and 1818 = LCM of 1818 and 1815
1. What is the LCM of 1815 and 1818?
Answer: LCM of 1815 and 1818 is 1099890.
2. What are the Factors of 1815?
Answer: Factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815. There are 12 integers that are factors of 1815. The greatest factor of 1815 is 1815.
3. 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.
4. How to Find the LCM of 1815 and 1818?
Answer:
Least Common Multiple of 1815 and 1818 = 1099890
Step 1: Find the prime factorization of 1815
1815 = 3 x 5 x 11 x 11
Step 2: Find the prime factorization of 1818
1818 = 2 x 3 x 3 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1099890 = 2 x 3 x 3 x 5 x 11 x 11 x 101
Step 4: Therefore, the least common multiple of 1815 and 1818 is 1099890.