Least Common Multiple of 477 and 482
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 477 and 482 the smallest integer that is 229914 that is divisible by both numbers.
Least Common Multiple (LCM) of 477 and 482 is 229914.
LCM(477,482) = 229914
LCM of 477 and 482
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 477 and 482 by Prime method
- Least Common Multiple of 477 and 482 with GCF Formula
LCM of 477 and 482 is 229914
Least common multiple can be found by multiplying the highest exponent prime factors of 477 and 482. First we will calculate the prime factors of 477 and 482.
Prime Factorization of 477
| 3 | 477 |
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:
477 = 32×531
Prime Factorization of 482
| 2 | 482 |
| 241 | 241 |
| 1 |
Prime factors of 482 are 2,241. Prime factorization of 482 in exponential form is:
482 = 21×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 477 and 482.
LCM(477,482) = 21×32×531×2411
LCM(477,482) = 229914
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Least Common Multiple of 477 and 482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 477 and 482, than apply into the LCM equation.
GCF(477,482) = 1
LCM(477,482) = ( 477 × 482) / 1
LCM(477,482) = 229914 / 1
LCM(477,482) = 229914
Properties of LCM 477 and 482
(i) The LCM of 482 and 477 is associative
LCM of 477 and 482 = LCM of 482 and 477
Related Least Common Multiples of 477
Related Least Common Multiples of 482
Frequently Asked Questions on LCM of 477 and 482
1. What is the LCM of 477 and 482?
Answer: LCM of 477 and 482 is 229914.
2. What are the Factors of 477?
Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.
3. What are the Factors of 482?
Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.
4. How to Find the LCM of 477 and 482?
Answer:
Least Common Multiple of 477 and 482 = 229914
Step 1: Find the prime factorization of 477
477 = 3 x 3 x 53
Step 2: Find the prime factorization of 482
482 = 2 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 229914 = 2 x 3 x 3 x 53 x 241
Step 4: Therefore, the least common multiple of 477 and 482 is 229914.