Least Common Multiple of 471 and 475
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 471 and 475 the smallest integer that is 223725 that is divisible by both numbers.
Least Common Multiple (LCM) of 471 and 475 is 223725.
LCM(471,475) = 223725
LCM of 471 and 475
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 471 and 475 by Prime method
- Least Common Multiple of 471 and 475 with GCF Formula
LCM of 471 and 475 is 223725
Least common multiple can be found by multiplying the highest exponent prime factors of 471 and 475. First we will calculate the prime factors of 471 and 475.
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
Prime Factorization of 475
| 5 | 475 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 475 are 5,19. Prime factorization of 475 in exponential form is:
475 = 52×191
Now multiplying the highest exponent prime factors to calculate the LCM of 471 and 475.
LCM(471,475) = 31×52×191×1571
LCM(471,475) = 223725
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Least Common Multiple of 471 and 475 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 471 and 475, than apply into the LCM equation.
GCF(471,475) = 1
LCM(471,475) = ( 471 × 475) / 1
LCM(471,475) = 223725 / 1
LCM(471,475) = 223725
Properties of LCM 471 and 475
(i) The LCM of 475 and 471 is associative
LCM of 471 and 475 = LCM of 475 and 471
Related Least Common Multiples of 471
Related Least Common Multiples of 475
Frequently Asked Questions on LCM of 471 and 475
1. What is the LCM of 471 and 475?
Answer: LCM of 471 and 475 is 223725.
2. 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.
3. What are the Factors of 475?
Answer: Factors of 475 are 1, 5, 19, 25, 95, 475. There are 6 integers that are factors of 475. The greatest factor of 475 is 475.
4. How to Find the LCM of 471 and 475?
Answer:
Least Common Multiple of 471 and 475 = 223725
Step 1: Find the prime factorization of 471
471 = 3 x 157
Step 2: Find the prime factorization of 475
475 = 5 x 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 223725 = 3 x 5 x 5 x 19 x 157
Step 4: Therefore, the least common multiple of 471 and 475 is 223725.