Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 463 and 471 the smallest integer that is 218073 that is divisible by both numbers.
Least Common Multiple (LCM) of 463 and 471 is 218073.
LCM(463,471) = 218073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 463 and 471. First we will calculate the prime factors of 463 and 471.
Prime Factorization of 463
463 | 463 |
1 |
Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:
463 = 4631
Prime Factorization of 471
3 | 471 |
157 | 157 |
1 |
Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:
471 = 31×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 463 and 471.
LCM(463,471) = 31×1571×4631
LCM(463,471) = 218073
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1, 463
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1, 3, 157, 471
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 463 and 471, than apply into the LCM equation.
GCF(463,471) = 1
LCM(463,471) = ( 463 × 471) / 1
LCM(463,471) = 218073 / 1
LCM(463,471) = 218073
(i) The LCM of 471 and 463 is associative
LCM of 463 and 471 = LCM of 471 and 463
1. What is the LCM of 463 and 471?
Answer: LCM of 463 and 471 is 218073.
2. What are the Factors of 463?
Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.
3. What are the Factors of 471?
Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.
4. How to Find the LCM of 463 and 471?
Answer:
Least Common Multiple of 463 and 471 = 218073
Step 1: Find the prime factorization of 463
463 = 463
Step 2: Find the prime factorization of 471
471 = 3 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 218073 = 3 x 157 x 463
Step 4: Therefore, the least common multiple of 463 and 471 is 218073.