Least Common Multiple of 901 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 901 and 909 the smallest integer that is 819009 that is divisible by both numbers.
Least Common Multiple (LCM) of 901 and 909 is 819009.
LCM(901,909) = 819009
LCM of 901 and 909
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 901 and 909 by Prime method
- Least Common Multiple of 901 and 909 with GCF Formula
LCM of 901 and 909 is 819009
Least common multiple can be found by multiplying the highest exponent prime factors of 901 and 909. First we will calculate the prime factors of 901 and 909.
Prime Factorization of 901
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:
901 = 171×531
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 901 and 909.
LCM(901,909) = 32×171×531×1011
LCM(901,909) = 819009
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1, 17, 53, 901
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 901 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 901 and 909, than apply into the LCM equation.
GCF(901,909) = 1
LCM(901,909) = ( 901 × 909) / 1
LCM(901,909) = 819009 / 1
LCM(901,909) = 819009
Properties of LCM 901 and 909
(i) The LCM of 909 and 901 is associative
LCM of 901 and 909 = LCM of 909 and 901
Related Least Common Multiples of 901
Related Least Common Multiples of 909
Frequently Asked Questions on LCM of 901 and 909
1. What is the LCM of 901 and 909?
Answer: LCM of 901 and 909 is 819009.
2. What are the Factors of 901?
Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.
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 901 and 909?
Answer:
Least Common Multiple of 901 and 909 = 819009
Step 1: Find the prime factorization of 901
901 = 17 x 53
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 = 819009 = 3 x 3 x 17 x 53 x 101
Step 4: Therefore, the least common multiple of 901 and 909 is 819009.