Least Common Multiple of 4473 and 4477
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4473 and 4477 the smallest integer that is 20025621 that is divisible by both numbers.
Least Common Multiple (LCM) of 4473 and 4477 is 20025621.
LCM(4473,4477) = 20025621
LCM of 4473 and 4477
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4473 and 4477 by Prime method
- Least Common Multiple of 4473 and 4477 with GCF Formula
LCM of 4473 and 4477 is 20025621
Least common multiple can be found by multiplying the highest exponent prime factors of 4473 and 4477. First we will calculate the prime factors of 4473 and 4477.
Prime Factorization of 4473
| 3 | 4473 |
| 3 | 1491 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 4473 are 3, 7,71. Prime factorization of 4473 in exponential form is:
4473 = 32×71×711
Prime Factorization of 4477
| 11 | 4477 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 4477 are 11,37. Prime factorization of 4477 in exponential form is:
4477 = 112×371
Now multiplying the highest exponent prime factors to calculate the LCM of 4473 and 4477.
LCM(4473,4477) = 32×71×112×371×711
LCM(4473,4477) = 20025621
Factors of 4473
List of positive integer factors of 4473 that divides 4473 without a remainder.
1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473
Factors of 4477
List of positive integer factors of 4477 that divides 4477 without a remainder.
1, 11, 37, 121, 407, 4477
Least Common Multiple of 4473 and 4477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4473 and 4477, than apply into the LCM equation.
GCF(4473,4477) = 1
LCM(4473,4477) = ( 4473 × 4477) / 1
LCM(4473,4477) = 20025621 / 1
LCM(4473,4477) = 20025621
Properties of LCM 4473 and 4477
(i) The LCM of 4477 and 4473 is associative
LCM of 4473 and 4477 = LCM of 4477 and 4473
Related Least Common Multiples of 4473
Related Least Common Multiples of 4477
Frequently Asked Questions on LCM of 4473 and 4477
1. What is the LCM of 4473 and 4477?
Answer: LCM of 4473 and 4477 is 20025621.
2. What are the Factors of 4473?
Answer: Factors of 4473 are 1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473. There are 12 integers that are factors of 4473. The greatest factor of 4473 is 4473.
3. What are the Factors of 4477?
Answer: Factors of 4477 are 1, 11, 37, 121, 407, 4477. There are 6 integers that are factors of 4477. The greatest factor of 4477 is 4477.
4. How to Find the LCM of 4473 and 4477?
Answer:
Least Common Multiple of 4473 and 4477 = 20025621
Step 1: Find the prime factorization of 4473
4473 = 3 x 3 x 7 x 71
Step 2: Find the prime factorization of 4477
4477 = 11 x 11 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20025621 = 3 x 3 x 7 x 11 x 11 x 37 x 71
Step 4: Therefore, the least common multiple of 4473 and 4477 is 20025621.