Least Common Multiple of 901 and 903
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 903 the smallest integer that is 813603 that is divisible by both numbers.
Least Common Multiple (LCM) of 901 and 903 is 813603.
LCM(901,903) = 813603
LCM of 901 and 903
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 901 and 903 by Prime method
- Least Common Multiple of 901 and 903 with GCF Formula
LCM of 901 and 903 is 813603
Least common multiple can be found by multiplying the highest exponent prime factors of 901 and 903. First we will calculate the prime factors of 901 and 903.
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 903
| 3 | 903 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 903 are 3, 7,43. Prime factorization of 903 in exponential form is:
903 = 31×71×431
Now multiplying the highest exponent prime factors to calculate the LCM of 901 and 903.
LCM(901,903) = 31×71×171×431×531
LCM(901,903) = 813603
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Least Common Multiple of 901 and 903 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 903, than apply into the LCM equation.
GCF(901,903) = 1
LCM(901,903) = ( 901 × 903) / 1
LCM(901,903) = 813603 / 1
LCM(901,903) = 813603
Properties of LCM 901 and 903
(i) The LCM of 903 and 901 is associative
LCM of 901 and 903 = LCM of 903 and 901
Related Least Common Multiples of 901
Related Least Common Multiples of 903
Frequently Asked Questions on LCM of 901 and 903
1. What is the LCM of 901 and 903?
Answer: LCM of 901 and 903 is 813603.
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 903?
Answer: Factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903. There are 8 integers that are factors of 903. The greatest factor of 903 is 903.
4. How to Find the LCM of 901 and 903?
Answer:
Least Common Multiple of 901 and 903 = 813603
Step 1: Find the prime factorization of 901
901 = 17 x 53
Step 2: Find the prime factorization of 903
903 = 3 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 813603 = 3 x 7 x 17 x 43 x 53
Step 4: Therefore, the least common multiple of 901 and 903 is 813603.
