Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1825 and 1829 the smallest integer that is 3337925 that is divisible by both numbers.
Least Common Multiple (LCM) of 1825 and 1829 is 3337925.
LCM(1825,1829) = 3337925
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 1825 and 1829. First we will calculate the prime factors of 1825 and 1829.
Prime Factorization of 1825
5 | 1825 |
5 | 365 |
73 | 73 |
1 |
Prime factors of 1825 are 5,73. Prime factorization of 1825 in exponential form is:
1825 = 52×731
Prime Factorization of 1829
31 | 1829 |
59 | 59 |
1 |
Prime factors of 1829 are 31,59. Prime factorization of 1829 in exponential form is:
1829 = 311×591
Now multiplying the highest exponent prime factors to calculate the LCM of 1825 and 1829.
LCM(1825,1829) = 52×311×591×731
LCM(1825,1829) = 3337925
Factors of 1825
List of positive integer factors of 1825 that divides 1825 without a remainder.
1, 5, 25, 73, 365, 1825
Factors of 1829
List of positive integer factors of 1829 that divides 1829 without a remainder.
1, 31, 59, 1829
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1825 and 1829, than apply into the LCM equation.
GCF(1825,1829) = 1
LCM(1825,1829) = ( 1825 × 1829) / 1
LCM(1825,1829) = 3337925 / 1
LCM(1825,1829) = 3337925
(i) The LCM of 1829 and 1825 is associative
LCM of 1825 and 1829 = LCM of 1829 and 1825
1. What is the LCM of 1825 and 1829?
Answer: LCM of 1825 and 1829 is 3337925.
2. What are the Factors of 1825?
Answer: Factors of 1825 are 1, 5, 25, 73, 365, 1825. There are 6 integers that are factors of 1825. The greatest factor of 1825 is 1825.
3. What are the Factors of 1829?
Answer: Factors of 1829 are 1, 31, 59, 1829. There are 4 integers that are factors of 1829. The greatest factor of 1829 is 1829.
4. How to Find the LCM of 1825 and 1829?
Answer:
Least Common Multiple of 1825 and 1829 = 3337925
Step 1: Find the prime factorization of 1825
1825 = 5 x 5 x 73
Step 2: Find the prime factorization of 1829
1829 = 31 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3337925 = 5 x 5 x 31 x 59 x 73
Step 4: Therefore, the least common multiple of 1825 and 1829 is 3337925.