Least Common Multiple of 913 and 917
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 913 and 917 the smallest integer that is 837221 that is divisible by both numbers.
Least Common Multiple (LCM) of 913 and 917 is 837221.
LCM(913,917) = 837221
LCM of 913 and 917
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 913 and 917 by Prime method
- Least Common Multiple of 913 and 917 with GCF Formula
LCM of 913 and 917 is 837221
Least common multiple can be found by multiplying the highest exponent prime factors of 913 and 917. First we will calculate the prime factors of 913 and 917.
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
Prime Factorization of 917
| 7 | 917 |
| 131 | 131 |
| 1 |
Prime factors of 917 are 7,131. Prime factorization of 917 in exponential form is:
917 = 71×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 913 and 917.
LCM(913,917) = 71×111×831×1311
LCM(913,917) = 837221
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Least Common Multiple of 913 and 917 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 913 and 917, than apply into the LCM equation.
GCF(913,917) = 1
LCM(913,917) = ( 913 × 917) / 1
LCM(913,917) = 837221 / 1
LCM(913,917) = 837221
Properties of LCM 913 and 917
(i) The LCM of 917 and 913 is associative
LCM of 913 and 917 = LCM of 917 and 913
Related Least Common Multiples of 913
Related Least Common Multiples of 917
Frequently Asked Questions on LCM of 913 and 917
1. What is the LCM of 913 and 917?
Answer: LCM of 913 and 917 is 837221.
2. 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.
3. What are the Factors of 917?
Answer: Factors of 917 are 1, 7, 131, 917. There are 4 integers that are factors of 917. The greatest factor of 917 is 917.
4. How to Find the LCM of 913 and 917?
Answer:
Least Common Multiple of 913 and 917 = 837221
Step 1: Find the prime factorization of 913
913 = 11 x 83
Step 2: Find the prime factorization of 917
917 = 7 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 837221 = 7 x 11 x 83 x 131
Step 4: Therefore, the least common multiple of 913 and 917 is 837221.
