Least Common Multiple of 5921 and 5925
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5921 and 5925 the smallest integer that is 35081925 that is divisible by both numbers.
Least Common Multiple (LCM) of 5921 and 5925 is 35081925.
LCM(5921,5925) = 35081925
LCM of 5921 and 5925
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5921 and 5925 by Prime method
- Least Common Multiple of 5921 and 5925 with GCF Formula
LCM of 5921 and 5925 is 35081925
Least common multiple can be found by multiplying the highest exponent prime factors of 5921 and 5925. First we will calculate the prime factors of 5921 and 5925.
Prime Factorization of 5921
| 31 | 5921 |
| 191 | 191 |
| 1 |
Prime factors of 5921 are 31,191. Prime factorization of 5921 in exponential form is:
5921 = 311×1911
Prime Factorization of 5925
| 3 | 5925 |
| 5 | 1975 |
| 5 | 395 |
| 79 | 79 |
| 1 |
Prime factors of 5925 are 3, 5,79. Prime factorization of 5925 in exponential form is:
5925 = 31×52×791
Now multiplying the highest exponent prime factors to calculate the LCM of 5921 and 5925.
LCM(5921,5925) = 31×52×311×791×1911
LCM(5921,5925) = 35081925
Factors of 5921
List of positive integer factors of 5921 that divides 5921 without a remainder.
1, 31, 191, 5921
Factors of 5925
List of positive integer factors of 5925 that divides 5925 without a remainder.
1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925
Least Common Multiple of 5921 and 5925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5921 and 5925, than apply into the LCM equation.
GCF(5921,5925) = 1
LCM(5921,5925) = ( 5921 × 5925) / 1
LCM(5921,5925) = 35081925 / 1
LCM(5921,5925) = 35081925
Properties of LCM 5921 and 5925
(i) The LCM of 5925 and 5921 is associative
LCM of 5921 and 5925 = LCM of 5925 and 5921
Related Least Common Multiples of 5921
Related Least Common Multiples of 5925
Frequently Asked Questions on LCM of 5921 and 5925
1. What is the LCM of 5921 and 5925?
Answer: LCM of 5921 and 5925 is 35081925.
2. What are the Factors of 5921?
Answer: Factors of 5921 are 1, 31, 191, 5921. There are 4 integers that are factors of 5921. The greatest factor of 5921 is 5921.
3. What are the Factors of 5925?
Answer: Factors of 5925 are 1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925. There are 12 integers that are factors of 5925. The greatest factor of 5925 is 5925.
4. How to Find the LCM of 5921 and 5925?
Answer:
Least Common Multiple of 5921 and 5925 = 35081925
Step 1: Find the prime factorization of 5921
5921 = 31 x 191
Step 2: Find the prime factorization of 5925
5925 = 3 x 5 x 5 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35081925 = 3 x 5 x 5 x 31 x 79 x 191
Step 4: Therefore, the least common multiple of 5921 and 5925 is 35081925.