Least Common Multiple of 909 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 909 and 913 the smallest integer that is 829917 that is divisible by both numbers.
Least Common Multiple (LCM) of 909 and 913 is 829917.
LCM(909,913) = 829917
LCM of 909 and 913
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 909 and 913 by Prime method
- Least Common Multiple of 909 and 913 with GCF Formula
LCM of 909 and 913 is 829917
Least common multiple can be found by multiplying the highest exponent prime factors of 909 and 913. First we will calculate the prime factors of 909 and 913.
Prime Factorization of 909
| 3 | 909 |
| 3 | 303 |
| 101 | 101 |
| 1 |
Prime factors of 909 are 3,101. Prime factorization of 909 in exponential form is:
909 = 32×1011
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 909 and 913.
LCM(909,913) = 32×111×831×1011
LCM(909,913) = 829917
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Least Common Multiple of 909 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 909 and 913, than apply into the LCM equation.
GCF(909,913) = 1
LCM(909,913) = ( 909 × 913) / 1
LCM(909,913) = 829917 / 1
LCM(909,913) = 829917
Properties of LCM 909 and 913
(i) The LCM of 913 and 909 is associative
LCM of 909 and 913 = LCM of 913 and 909
Related Least Common Multiples of 909
Related Least Common Multiples of 913
Frequently Asked Questions on LCM of 909 and 913
1. What is the LCM of 909 and 913?
Answer: LCM of 909 and 913 is 829917.
2. What are the Factors of 909?
Answer: Factors of 909 are 1, 3, 9, 101, 303, 909. There are 6 integers that are factors of 909. The greatest factor of 909 is 909.
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 909 and 913?
Answer:
Least Common Multiple of 909 and 913 = 829917
Step 1: Find the prime factorization of 909
909 = 3 x 3 x 101
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 = 829917 = 3 x 3 x 11 x 83 x 101
Step 4: Therefore, the least common multiple of 909 and 913 is 829917.