Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1806 and 1808 the smallest integer that is 1632624 that is divisible by both numbers.
Least Common Multiple (LCM) of 1806 and 1808 is 1632624.
LCM(1806,1808) = 1632624
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 1806 and 1808. First we will calculate the prime factors of 1806 and 1808.
Prime Factorization of 1806
2 | 1806 |
3 | 903 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 1806 are 2, 3, 7,43. Prime factorization of 1806 in exponential form is:
1806 = 21×31×71×431
Prime Factorization of 1808
2 | 1808 |
2 | 904 |
2 | 452 |
2 | 226 |
113 | 113 |
1 |
Prime factors of 1808 are 2,113. Prime factorization of 1808 in exponential form is:
1808 = 24×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 1806 and 1808.
LCM(1806,1808) = 24×31×71×431×1131
LCM(1806,1808) = 1632624
Factors of 1806
List of positive integer factors of 1806 that divides 1806 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806
Factors of 1808
List of positive integer factors of 1808 that divides 1808 without a remainder.
1, 2, 4, 8, 16, 113, 226, 452, 904, 1808
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1806 and 1808, than apply into the LCM equation.
GCF(1806,1808) = 2
LCM(1806,1808) = ( 1806 × 1808) / 2
LCM(1806,1808) = 3265248 / 2
LCM(1806,1808) = 1632624
(i) The LCM of 1808 and 1806 is associative
LCM of 1806 and 1808 = LCM of 1808 and 1806
1. What is the LCM of 1806 and 1808?
Answer: LCM of 1806 and 1808 is 1632624.
2. What are the Factors of 1806?
Answer: Factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806. There are 16 integers that are factors of 1806. The greatest factor of 1806 is 1806.
3. What are the Factors of 1808?
Answer: Factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808. There are 10 integers that are factors of 1808. The greatest factor of 1808 is 1808.
4. How to Find the LCM of 1806 and 1808?
Answer:
Least Common Multiple of 1806 and 1808 = 1632624
Step 1: Find the prime factorization of 1806
1806 = 2 x 3 x 7 x 43
Step 2: Find the prime factorization of 1808
1808 = 2 x 2 x 2 x 2 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1632624 = 2 x 2 x 2 x 2 x 3 x 7 x 43 x 113
Step 4: Therefore, the least common multiple of 1806 and 1808 is 1632624.