Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4545 and 4550 the smallest integer that is 4135950 that is divisible by both numbers.
Least Common Multiple (LCM) of 4545 and 4550 is 4135950.
LCM(4545,4550) = 4135950
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 4545 and 4550. First we will calculate the prime factors of 4545 and 4550.
Prime Factorization of 4545
3 | 4545 |
3 | 1515 |
5 | 505 |
101 | 101 |
1 |
Prime factors of 4545 are 3, 5,101. Prime factorization of 4545 in exponential form is:
4545 = 32×51×1011
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 4545 and 4550.
LCM(4545,4550) = 21×32×52×71×131×1011
LCM(4545,4550) = 4135950
Factors of 4545
List of positive integer factors of 4545 that divides 4545 without a remainder.
1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545
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 4545 and 4550, than apply into the LCM equation.
GCF(4545,4550) = 5
LCM(4545,4550) = ( 4545 × 4550) / 5
LCM(4545,4550) = 20679750 / 5
LCM(4545,4550) = 4135950
(i) The LCM of 4550 and 4545 is associative
LCM of 4545 and 4550 = LCM of 4550 and 4545
1. What is the LCM of 4545 and 4550?
Answer: LCM of 4545 and 4550 is 4135950.
2. What are the Factors of 4545?
Answer: Factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545. There are 12 integers that are factors of 4545. The greatest factor of 4545 is 4545.
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 4545 and 4550?
Answer:
Least Common Multiple of 4545 and 4550 = 4135950
Step 1: Find the prime factorization of 4545
4545 = 3 x 3 x 5 x 101
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 = 4135950 = 2 x 3 x 3 x 5 x 5 x 7 x 13 x 101
Step 4: Therefore, the least common multiple of 4545 and 4550 is 4135950.