Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1810 and 1814 the smallest integer that is 1641670 that is divisible by both numbers.
Least Common Multiple (LCM) of 1810 and 1814 is 1641670.
LCM(1810,1814) = 1641670
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 1810 and 1814. First we will calculate the prime factors of 1810 and 1814.
Prime Factorization of 1810
2 | 1810 |
5 | 905 |
181 | 181 |
1 |
Prime factors of 1810 are 2, 5,181. Prime factorization of 1810 in exponential form is:
1810 = 21×51×1811
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 1810 and 1814.
LCM(1810,1814) = 21×51×1811×9071
LCM(1810,1814) = 1641670
Factors of 1810
List of positive integer factors of 1810 that divides 1810 without a remainder.
1, 2, 5, 10, 181, 362, 905, 1810
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 1810 and 1814, than apply into the LCM equation.
GCF(1810,1814) = 2
LCM(1810,1814) = ( 1810 × 1814) / 2
LCM(1810,1814) = 3283340 / 2
LCM(1810,1814) = 1641670
(i) The LCM of 1814 and 1810 is associative
LCM of 1810 and 1814 = LCM of 1814 and 1810
1. What is the LCM of 1810 and 1814?
Answer: LCM of 1810 and 1814 is 1641670.
2. What are the Factors of 1810?
Answer: Factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810. There are 8 integers that are factors of 1810. The greatest factor of 1810 is 1810.
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 1810 and 1814?
Answer:
Least Common Multiple of 1810 and 1814 = 1641670
Step 1: Find the prime factorization of 1810
1810 = 2 x 5 x 181
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 = 1641670 = 2 x 5 x 181 x 907
Step 4: Therefore, the least common multiple of 1810 and 1814 is 1641670.