Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 25 and 41 the smallest integer that is 1025 that is divisible by both numbers.
Least Common Multiple (LCM) of 25 and 41 is 1025.
LCM(25,41) = 1025
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 25 and 41. First we will calculate the prime factors of 25 and 41.
Prime Factorization of 25
5 | 25 |
5 | 5 |
1 |
Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:
25 = 52
Prime Factorization of 41
41 | 41 |
1 |
Prime factors of 41 are 41. Prime factorization of 41 in exponential form is:
41 = 411
Now multiplying the highest exponent prime factors to calculate the LCM of 25 and 41.
LCM(25,41) = 52×411
LCM(25,41) = 1025
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1, 5, 25
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1, 41
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25 and 41, than apply into the LCM equation.
GCF(25,41) = 1
LCM(25,41) = ( 25 × 41) / 1
LCM(25,41) = 1025 / 1
LCM(25,41) = 1025
(i) The LCM of 41 and 25 is associative
LCM of 25 and 41 = LCM of 41 and 25
1. What is the LCM of 25 and 41?
Answer: LCM of 25 and 41 is 1025.
2. What are the Factors of 25?
Answer: Factors of 25 are 1, 5, 25. There are 3 integers that are factors of 25. The greatest factor of 25 is 25.
3. What are the Factors of 41?
Answer: Factors of 41 are 1, 41. There are 2 integers that are factors of 41. The greatest factor of 41 is 41.
4. How to Find the LCM of 25 and 41?
Answer:
Least Common Multiple of 25 and 41 = 1025
Step 1: Find the prime factorization of 25
25 = 5 x 5
Step 2: Find the prime factorization of 41
41 = 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1025 = 5 x 5 x 41
Step 4: Therefore, the least common multiple of 25 and 41 is 1025.