Least Common Multiple of 4550 and 4555
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4550 and 4555 the smallest integer that is 4145050 that is divisible by both numbers.
Least Common Multiple (LCM) of 4550 and 4555 is 4145050.
LCM(4550,4555) = 4145050
LCM of 4550 and 4555
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4550 and 4555 by Prime method
- Least Common Multiple of 4550 and 4555 with GCF Formula
LCM of 4550 and 4555 is 4145050
Least common multiple can be found by multiplying the highest exponent prime factors of 4550 and 4555. First we will calculate the prime factors of 4550 and 4555.
Prime Factorization of 4550
| 2 | 4550 |
| 5 | 2275 |
| 5 | 455 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 4550 are 2, 5, 7,13. Prime factorization of 4550 in exponential form is:
4550 = 21×52×71×131
Prime Factorization of 4555
| 5 | 4555 |
| 911 | 911 |
| 1 |
Prime factors of 4555 are 5,911. Prime factorization of 4555 in exponential form is:
4555 = 51×9111
Now multiplying the highest exponent prime factors to calculate the LCM of 4550 and 4555.
LCM(4550,4555) = 21×52×71×131×9111
LCM(4550,4555) = 4145050
Factors of 4550
List of positive integer factors of 4550 that divides 4550 without a remainder.
1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550
Factors of 4555
List of positive integer factors of 4555 that divides 4555 without a remainder.
1, 5, 911, 4555
Least Common Multiple of 4550 and 4555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4550 and 4555, than apply into the LCM equation.
GCF(4550,4555) = 5
LCM(4550,4555) = ( 4550 × 4555) / 5
LCM(4550,4555) = 20725250 / 5
LCM(4550,4555) = 4145050
Properties of LCM 4550 and 4555
(i) The LCM of 4555 and 4550 is associative
LCM of 4550 and 4555 = LCM of 4555 and 4550
Related Least Common Multiples of 4550
Related Least Common Multiples of 4555
Frequently Asked Questions on LCM of 4550 and 4555
1. What is the LCM of 4550 and 4555?
Answer: LCM of 4550 and 4555 is 4145050.
2. What are the Factors of 4550?
Answer: Factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550. There are 24 integers that are factors of 4550. The greatest factor of 4550 is 4550.
3. What are the Factors of 4555?
Answer: Factors of 4555 are 1, 5, 911, 4555. There are 4 integers that are factors of 4555. The greatest factor of 4555 is 4555.
4. How to Find the LCM of 4550 and 4555?
Answer:
Least Common Multiple of 4550 and 4555 = 4145050
Step 1: Find the prime factorization of 4550
4550 = 2 x 5 x 5 x 7 x 13
Step 2: Find the prime factorization of 4555
4555 = 5 x 911
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4145050 = 2 x 5 x 5 x 7 x 13 x 911
Step 4: Therefore, the least common multiple of 4550 and 4555 is 4145050.