Least Common Multiple of 1463 and 1471
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1463 and 1471 the smallest integer that is 2152073 that is divisible by both numbers.
Least Common Multiple (LCM) of 1463 and 1471 is 2152073.
LCM(1463,1471) = 2152073
LCM of 1463 and 1471
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1463 and 1471 by Prime method
- Least Common Multiple of 1463 and 1471 with GCF Formula
LCM of 1463 and 1471 is 2152073
Least common multiple can be found by multiplying the highest exponent prime factors of 1463 and 1471. First we will calculate the prime factors of 1463 and 1471.
Prime Factorization of 1463
| 7 | 1463 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 1463 are 7, 11,19. Prime factorization of 1463 in exponential form is:
1463 = 71×111×191
Prime Factorization of 1471
| 1471 | 1471 |
| 1 |
Prime factors of 1471 are 1471. Prime factorization of 1471 in exponential form is:
1471 = 14711
Now multiplying the highest exponent prime factors to calculate the LCM of 1463 and 1471.
LCM(1463,1471) = 71×111×191×14711
LCM(1463,1471) = 2152073
Factors of 1463
List of positive integer factors of 1463 that divides 1463 without a remainder.
1, 7, 11, 19, 77, 133, 209, 1463
Factors of 1471
List of positive integer factors of 1471 that divides 1471 without a remainder.
1, 1471
Least Common Multiple of 1463 and 1471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1463 and 1471, than apply into the LCM equation.
GCF(1463,1471) = 1
LCM(1463,1471) = ( 1463 × 1471) / 1
LCM(1463,1471) = 2152073 / 1
LCM(1463,1471) = 2152073
Properties of LCM 1463 and 1471
(i) The LCM of 1471 and 1463 is associative
LCM of 1463 and 1471 = LCM of 1471 and 1463
Related Least Common Multiples of 1463
Related Least Common Multiples of 1471
Frequently Asked Questions on LCM of 1463 and 1471
1. What is the LCM of 1463 and 1471?
Answer: LCM of 1463 and 1471 is 2152073.
2. What are the Factors of 1463?
Answer: Factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463. There are 8 integers that are factors of 1463. The greatest factor of 1463 is 1463.
3. What are the Factors of 1471?
Answer: Factors of 1471 are 1, 1471. There are 2 integers that are factors of 1471. The greatest factor of 1471 is 1471.
4. How to Find the LCM of 1463 and 1471?
Answer:
Least Common Multiple of 1463 and 1471 = 2152073
Step 1: Find the prime factorization of 1463
1463 = 7 x 11 x 19
Step 2: Find the prime factorization of 1471
1471 = 1471
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2152073 = 7 x 11 x 19 x 1471
Step 4: Therefore, the least common multiple of 1463 and 1471 is 2152073.