Least Common Multiple of 481 and 489
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 481 and 489 the smallest integer that is 235209 that is divisible by both numbers.
Least Common Multiple (LCM) of 481 and 489 is 235209.
LCM(481,489) = 235209
LCM of 481 and 489
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 481 and 489 by Prime method
- Least Common Multiple of 481 and 489 with GCF Formula
LCM of 481 and 489 is 235209
Least common multiple can be found by multiplying the highest exponent prime factors of 481 and 489. First we will calculate the prime factors of 481 and 489.
Prime Factorization of 481
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 481 are 13,37. Prime factorization of 481 in exponential form is:
481 = 131×371
Prime Factorization of 489
| 3 | 489 |
| 163 | 163 |
| 1 |
Prime factors of 489 are 3,163. Prime factorization of 489 in exponential form is:
489 = 31×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 481 and 489.
LCM(481,489) = 31×131×371×1631
LCM(481,489) = 235209
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Least Common Multiple of 481 and 489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 481 and 489, than apply into the LCM equation.
GCF(481,489) = 1
LCM(481,489) = ( 481 × 489) / 1
LCM(481,489) = 235209 / 1
LCM(481,489) = 235209
Properties of LCM 481 and 489
(i) The LCM of 489 and 481 is associative
LCM of 481 and 489 = LCM of 489 and 481
Related Least Common Multiples of 481
Related Least Common Multiples of 489
Frequently Asked Questions on LCM of 481 and 489
1. What is the LCM of 481 and 489?
Answer: LCM of 481 and 489 is 235209.
2. What are the Factors of 481?
Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.
3. What are the Factors of 489?
Answer: Factors of 489 are 1, 3, 163, 489. There are 4 integers that are factors of 489. The greatest factor of 489 is 489.
4. How to Find the LCM of 481 and 489?
Answer:
Least Common Multiple of 481 and 489 = 235209
Step 1: Find the prime factorization of 481
481 = 13 x 37
Step 2: Find the prime factorization of 489
489 = 3 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 235209 = 3 x 13 x 37 x 163
Step 4: Therefore, the least common multiple of 481 and 489 is 235209.