Least Common Multiple of 905 and 913
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 905 and 913 the smallest integer that is 826265 that is divisible by both numbers.
Least Common Multiple (LCM) of 905 and 913 is 826265.
LCM(905,913) = 826265
LCM of 905 and 913
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 905 and 913 by Prime method
- Least Common Multiple of 905 and 913 with GCF Formula
LCM of 905 and 913 is 826265
Least common multiple can be found by multiplying the highest exponent prime factors of 905 and 913. First we will calculate the prime factors of 905 and 913.
Prime Factorization of 905
| 5 | 905 |
| 181 | 181 |
| 1 |
Prime factors of 905 are 5,181. Prime factorization of 905 in exponential form is:
905 = 51×1811
Prime Factorization of 913
| 11 | 913 |
| 83 | 83 |
| 1 |
Prime factors of 913 are 11,83. Prime factorization of 913 in exponential form is:
913 = 111×831
Now multiplying the highest exponent prime factors to calculate the LCM of 905 and 913.
LCM(905,913) = 51×111×831×1811
LCM(905,913) = 826265
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Least Common Multiple of 905 and 913 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 905 and 913, than apply into the LCM equation.
GCF(905,913) = 1
LCM(905,913) = ( 905 × 913) / 1
LCM(905,913) = 826265 / 1
LCM(905,913) = 826265
Properties of LCM 905 and 913
(i) The LCM of 913 and 905 is associative
LCM of 905 and 913 = LCM of 913 and 905
Related Least Common Multiples of 905
Related Least Common Multiples of 913
Frequently Asked Questions on LCM of 905 and 913
1. What is the LCM of 905 and 913?
Answer: LCM of 905 and 913 is 826265.
2. What are the Factors of 905?
Answer: Factors of 905 are 1, 5, 181, 905. There are 4 integers that are factors of 905. The greatest factor of 905 is 905.
3. What are the Factors of 913?
Answer: Factors of 913 are 1, 11, 83, 913. There are 4 integers that are factors of 913. The greatest factor of 913 is 913.
4. How to Find the LCM of 905 and 913?
Answer:
Least Common Multiple of 905 and 913 = 826265
Step 1: Find the prime factorization of 905
905 = 5 x 181
Step 2: Find the prime factorization of 913
913 = 11 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 826265 = 5 x 11 x 83 x 181
Step 4: Therefore, the least common multiple of 905 and 913 is 826265.