Least Common Multiple of 8903 and 8911
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8903 and 8911 the smallest integer that is 79334633 that is divisible by both numbers.
Least Common Multiple (LCM) of 8903 and 8911 is 79334633.
LCM(8903,8911) = 79334633
LCM of 8903 and 8911
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8903 and 8911 by Prime method
- Least Common Multiple of 8903 and 8911 with GCF Formula
LCM of 8903 and 8911 is 79334633
Least common multiple can be found by multiplying the highest exponent prime factors of 8903 and 8911. First we will calculate the prime factors of 8903 and 8911.
Prime Factorization of 8903
| 29 | 8903 |
| 307 | 307 |
| 1 |
Prime factors of 8903 are 29,307. Prime factorization of 8903 in exponential form is:
8903 = 291×3071
Prime Factorization of 8911
| 7 | 8911 |
| 19 | 1273 |
| 67 | 67 |
| 1 |
Prime factors of 8911 are 7, 19,67. Prime factorization of 8911 in exponential form is:
8911 = 71×191×671
Now multiplying the highest exponent prime factors to calculate the LCM of 8903 and 8911.
LCM(8903,8911) = 71×191×291×671×3071
LCM(8903,8911) = 79334633
Factors of 8903
List of positive integer factors of 8903 that divides 8903 without a remainder.
1, 29, 307, 8903
Factors of 8911
List of positive integer factors of 8911 that divides 8911 without a remainder.
1, 7, 19, 67, 133, 469, 1273, 8911
Least Common Multiple of 8903 and 8911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8903 and 8911, than apply into the LCM equation.
GCF(8903,8911) = 1
LCM(8903,8911) = ( 8903 × 8911) / 1
LCM(8903,8911) = 79334633 / 1
LCM(8903,8911) = 79334633
Properties of LCM 8903 and 8911
(i) The LCM of 8911 and 8903 is associative
LCM of 8903 and 8911 = LCM of 8911 and 8903
Related Least Common Multiples of 8903
Related Least Common Multiples of 8911
Frequently Asked Questions on LCM of 8903 and 8911
1. What is the LCM of 8903 and 8911?
Answer: LCM of 8903 and 8911 is 79334633.
2. What are the Factors of 8903?
Answer: Factors of 8903 are 1, 29, 307, 8903. There are 4 integers that are factors of 8903. The greatest factor of 8903 is 8903.
3. What are the Factors of 8911?
Answer: Factors of 8911 are 1, 7, 19, 67, 133, 469, 1273, 8911. There are 8 integers that are factors of 8911. The greatest factor of 8911 is 8911.
4. How to Find the LCM of 8903 and 8911?
Answer:
Least Common Multiple of 8903 and 8911 = 79334633
Step 1: Find the prime factorization of 8903
8903 = 29 x 307
Step 2: Find the prime factorization of 8911
8911 = 7 x 19 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 79334633 = 7 x 19 x 29 x 67 x 307
Step 4: Therefore, the least common multiple of 8903 and 8911 is 79334633.