Least Common Multiple of 905 and 909
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 909 the smallest integer that is 822645 that is divisible by both numbers.
Least Common Multiple (LCM) of 905 and 909 is 822645.
LCM(905,909) = 822645
LCM of 905 and 909
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 905 and 909 by Prime method
- Least Common Multiple of 905 and 909 with GCF Formula
LCM of 905 and 909 is 822645
Least common multiple can be found by multiplying the highest exponent prime factors of 905 and 909. First we will calculate the prime factors of 905 and 909.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 905 and 909.
LCM(905,909) = 32×51×1011×1811
LCM(905,909) = 822645
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Least Common Multiple of 905 and 909 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 909, than apply into the LCM equation.
GCF(905,909) = 1
LCM(905,909) = ( 905 × 909) / 1
LCM(905,909) = 822645 / 1
LCM(905,909) = 822645
Properties of LCM 905 and 909
(i) The LCM of 909 and 905 is associative
LCM of 905 and 909 = LCM of 909 and 905
Related Least Common Multiples of 905
Related Least Common Multiples of 909
Frequently Asked Questions on LCM of 905 and 909
1. What is the LCM of 905 and 909?
Answer: LCM of 905 and 909 is 822645.
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 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.
4. How to Find the LCM of 905 and 909?
Answer:
Least Common Multiple of 905 and 909 = 822645
Step 1: Find the prime factorization of 905
905 = 5 x 181
Step 2: Find the prime factorization of 909
909 = 3 x 3 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 822645 = 3 x 3 x 5 x 101 x 181
Step 4: Therefore, the least common multiple of 905 and 909 is 822645.
