Least Common Multiple of 4545 and 4553
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 4553 the smallest integer that is 20693385 that is divisible by both numbers.
Least Common Multiple (LCM) of 4545 and 4553 is 20693385.
LCM(4545,4553) = 20693385
LCM of 4545 and 4553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4545 and 4553 by Prime method
- Least Common Multiple of 4545 and 4553 with GCF Formula
LCM of 4545 and 4553 is 20693385
Least common multiple can be found by multiplying the highest exponent prime factors of 4545 and 4553. First we will calculate the prime factors of 4545 and 4553.
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 4553
| 29 | 4553 |
| 157 | 157 |
| 1 |
Prime factors of 4553 are 29,157. Prime factorization of 4553 in exponential form is:
4553 = 291×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 4545 and 4553.
LCM(4545,4553) = 32×51×291×1011×1571
LCM(4545,4553) = 20693385
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 4553
List of positive integer factors of 4553 that divides 4553 without a remainder.
1, 29, 157, 4553
Least Common Multiple of 4545 and 4553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4545 and 4553, than apply into the LCM equation.
GCF(4545,4553) = 1
LCM(4545,4553) = ( 4545 × 4553) / 1
LCM(4545,4553) = 20693385 / 1
LCM(4545,4553) = 20693385
Properties of LCM 4545 and 4553
(i) The LCM of 4553 and 4545 is associative
LCM of 4545 and 4553 = LCM of 4553 and 4545
Related Least Common Multiples of 4545
Related Least Common Multiples of 4553
Frequently Asked Questions on LCM of 4545 and 4553
1. What is the LCM of 4545 and 4553?
Answer: LCM of 4545 and 4553 is 20693385.
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 4553?
Answer: Factors of 4553 are 1, 29, 157, 4553. There are 4 integers that are factors of 4553. The greatest factor of 4553 is 4553.
4. How to Find the LCM of 4545 and 4553?
Answer:
Least Common Multiple of 4545 and 4553 = 20693385
Step 1: Find the prime factorization of 4545
4545 = 3 x 3 x 5 x 101
Step 2: Find the prime factorization of 4553
4553 = 29 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20693385 = 3 x 3 x 5 x 29 x 101 x 157
Step 4: Therefore, the least common multiple of 4545 and 4553 is 20693385.