Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4549 and 4550 the smallest integer that is 20697950 that is divisible by both numbers.
Least Common Multiple (LCM) of 4549 and 4550 is 20697950.
LCM(4549,4550) = 20697950
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 4549 and 4550. First we will calculate the prime factors of 4549 and 4550.
Prime Factorization of 4549
4549 | 4549 |
1 |
Prime factors of 4549 are 4549. Prime factorization of 4549 in exponential form is:
4549 = 45491
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4549 and 4550.
LCM(4549,4550) = 21×52×71×131×45491
LCM(4549,4550) = 20697950
Factors of 4549
List of positive integer factors of 4549 that divides 4549 without a remainder.
1, 4549
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4549 and 4550, than apply into the LCM equation.
GCF(4549,4550) = 1
LCM(4549,4550) = ( 4549 × 4550) / 1
LCM(4549,4550) = 20697950 / 1
LCM(4549,4550) = 20697950
(i) The LCM of 4550 and 4549 is associative
LCM of 4549 and 4550 = LCM of 4550 and 4549
1. What is the LCM of 4549 and 4550?
Answer: LCM of 4549 and 4550 is 20697950.
2. What are the Factors of 4549?
Answer: Factors of 4549 are 1, 4549. There are 2 integers that are factors of 4549. The greatest factor of 4549 is 4549.
3. 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.
4. How to Find the LCM of 4549 and 4550?
Answer:
Least Common Multiple of 4549 and 4550 = 20697950
Step 1: Find the prime factorization of 4549
4549 = 4549
Step 2: Find the prime factorization of 4550
4550 = 2 x 5 x 5 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20697950 = 2 x 5 x 5 x 7 x 13 x 4549
Step 4: Therefore, the least common multiple of 4549 and 4550 is 20697950.