Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1801 and 1808 the smallest integer that is 3256208 that is divisible by both numbers.
Least Common Multiple (LCM) of 1801 and 1808 is 3256208.
LCM(1801,1808) = 3256208
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 1801 and 1808. First we will calculate the prime factors of 1801 and 1808.
Prime Factorization of 1801
1801 | 1801 |
1 |
Prime factors of 1801 are 1801. Prime factorization of 1801 in exponential form is:
1801 = 18011
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 1801 and 1808.
LCM(1801,1808) = 24×1131×18011
LCM(1801,1808) = 3256208
Factors of 1801
List of positive integer factors of 1801 that divides 1801 without a remainder.
1, 1801
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 1801 and 1808, than apply into the LCM equation.
GCF(1801,1808) = 1
LCM(1801,1808) = ( 1801 × 1808) / 1
LCM(1801,1808) = 3256208 / 1
LCM(1801,1808) = 3256208
(i) The LCM of 1808 and 1801 is associative
LCM of 1801 and 1808 = LCM of 1808 and 1801
1. What is the LCM of 1801 and 1808?
Answer: LCM of 1801 and 1808 is 3256208.
2. What are the Factors of 1801?
Answer: Factors of 1801 are 1, 1801. There are 2 integers that are factors of 1801. The greatest factor of 1801 is 1801.
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 1801 and 1808?
Answer:
Least Common Multiple of 1801 and 1808 = 3256208
Step 1: Find the prime factorization of 1801
1801 = 1801
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 = 3256208 = 2 x 2 x 2 x 2 x 113 x 1801
Step 4: Therefore, the least common multiple of 1801 and 1808 is 3256208.