Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1808 and 1814 the smallest integer that is 1639856 that is divisible by both numbers.
Least Common Multiple (LCM) of 1808 and 1814 is 1639856.
LCM(1808,1814) = 1639856
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 1808 and 1814. First we will calculate the prime factors of 1808 and 1814.
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
Prime Factorization of 1814
2 | 1814 |
907 | 907 |
1 |
Prime factors of 1814 are 2,907. Prime factorization of 1814 in exponential form is:
1814 = 21×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 1808 and 1814.
LCM(1808,1814) = 24×1131×9071
LCM(1808,1814) = 1639856
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
Factors of 1814
List of positive integer factors of 1814 that divides 1814 without a remainder.
1, 2, 907, 1814
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1808 and 1814, than apply into the LCM equation.
GCF(1808,1814) = 2
LCM(1808,1814) = ( 1808 × 1814) / 2
LCM(1808,1814) = 3279712 / 2
LCM(1808,1814) = 1639856
(i) The LCM of 1814 and 1808 is associative
LCM of 1808 and 1814 = LCM of 1814 and 1808
1. What is the LCM of 1808 and 1814?
Answer: LCM of 1808 and 1814 is 1639856.
2. 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.
3. What are the Factors of 1814?
Answer: Factors of 1814 are 1, 2, 907, 1814. There are 4 integers that are factors of 1814. The greatest factor of 1814 is 1814.
4. How to Find the LCM of 1808 and 1814?
Answer:
Least Common Multiple of 1808 and 1814 = 1639856
Step 1: Find the prime factorization of 1808
1808 = 2 x 2 x 2 x 2 x 113
Step 2: Find the prime factorization of 1814
1814 = 2 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1639856 = 2 x 2 x 2 x 2 x 113 x 907
Step 4: Therefore, the least common multiple of 1808 and 1814 is 1639856.