Least Common Multiple of 5913 and 5921
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5913 and 5921 the smallest integer that is 35010873 that is divisible by both numbers.
Least Common Multiple (LCM) of 5913 and 5921 is 35010873.
LCM(5913,5921) = 35010873
LCM of 5913 and 5921
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5913 and 5921 by Prime method
- Least Common Multiple of 5913 and 5921 with GCF Formula
LCM of 5913 and 5921 is 35010873
Least common multiple can be found by multiplying the highest exponent prime factors of 5913 and 5921. First we will calculate the prime factors of 5913 and 5921.
Prime Factorization of 5913
| 3 | 5913 |
| 3 | 1971 |
| 3 | 657 |
| 3 | 219 |
| 73 | 73 |
| 1 |
Prime factors of 5913 are 3,73. Prime factorization of 5913 in exponential form is:
5913 = 34×731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5913 and 5921.
LCM(5913,5921) = 34×311×731×1911
LCM(5913,5921) = 35010873
Factors of 5913
List of positive integer factors of 5913 that divides 5913 without a remainder.
1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913
Factors of 5921
List of positive integer factors of 5921 that divides 5921 without a remainder.
1, 31, 191, 5921
Least Common Multiple of 5913 and 5921 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5913 and 5921, than apply into the LCM equation.
GCF(5913,5921) = 1
LCM(5913,5921) = ( 5913 × 5921) / 1
LCM(5913,5921) = 35010873 / 1
LCM(5913,5921) = 35010873
Properties of LCM 5913 and 5921
(i) The LCM of 5921 and 5913 is associative
LCM of 5913 and 5921 = LCM of 5921 and 5913
Related Least Common Multiples of 5913
Related Least Common Multiples of 5921
Frequently Asked Questions on LCM of 5913 and 5921
1. What is the LCM of 5913 and 5921?
Answer: LCM of 5913 and 5921 is 35010873.
2. What are the Factors of 5913?
Answer: Factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913. There are 10 integers that are factors of 5913. The greatest factor of 5913 is 5913.
3. 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.
4. How to Find the LCM of 5913 and 5921?
Answer:
Least Common Multiple of 5913 and 5921 = 35010873
Step 1: Find the prime factorization of 5913
5913 = 3 x 3 x 3 x 3 x 73
Step 2: Find the prime factorization of 5921
5921 = 31 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35010873 = 3 x 3 x 3 x 3 x 31 x 73 x 191
Step 4: Therefore, the least common multiple of 5913 and 5921 is 35010873.