Least Common Multiple of 4485 and 4493
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4485 and 4493 the smallest integer that is 20151105 that is divisible by both numbers.
Least Common Multiple (LCM) of 4485 and 4493 is 20151105.
LCM(4485,4493) = 20151105
LCM of 4485 and 4493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4485 and 4493 by Prime method
- Least Common Multiple of 4485 and 4493 with GCF Formula
LCM of 4485 and 4493 is 20151105
Least common multiple can be found by multiplying the highest exponent prime factors of 4485 and 4493. First we will calculate the prime factors of 4485 and 4493.
Prime Factorization of 4485
| 3 | 4485 |
| 5 | 1495 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 4485 are 3, 5, 13,23. Prime factorization of 4485 in exponential form is:
4485 = 31×51×131×231
Prime Factorization of 4493
| 4493 | 4493 |
| 1 |
Prime factors of 4493 are 4493. Prime factorization of 4493 in exponential form is:
4493 = 44931
Now multiplying the highest exponent prime factors to calculate the LCM of 4485 and 4493.
LCM(4485,4493) = 31×51×131×231×44931
LCM(4485,4493) = 20151105
Factors of 4485
List of positive integer factors of 4485 that divides 4485 without a remainder.
1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485
Factors of 4493
List of positive integer factors of 4493 that divides 4493 without a remainder.
1, 4493
Least Common Multiple of 4485 and 4493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4485 and 4493, than apply into the LCM equation.
GCF(4485,4493) = 1
LCM(4485,4493) = ( 4485 × 4493) / 1
LCM(4485,4493) = 20151105 / 1
LCM(4485,4493) = 20151105
Properties of LCM 4485 and 4493
(i) The LCM of 4493 and 4485 is associative
LCM of 4485 and 4493 = LCM of 4493 and 4485
Related Least Common Multiples of 4485
Related Least Common Multiples of 4493
Frequently Asked Questions on LCM of 4485 and 4493
1. What is the LCM of 4485 and 4493?
Answer: LCM of 4485 and 4493 is 20151105.
2. What are the Factors of 4485?
Answer: Factors of 4485 are 1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485. There are 16 integers that are factors of 4485. The greatest factor of 4485 is 4485.
3. What are the Factors of 4493?
Answer: Factors of 4493 are 1, 4493. There are 2 integers that are factors of 4493. The greatest factor of 4493 is 4493.
4. How to Find the LCM of 4485 and 4493?
Answer:
Least Common Multiple of 4485 and 4493 = 20151105
Step 1: Find the prime factorization of 4485
4485 = 3 x 5 x 13 x 23
Step 2: Find the prime factorization of 4493
4493 = 4493
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20151105 = 3 x 5 x 13 x 23 x 4493
Step 4: Therefore, the least common multiple of 4485 and 4493 is 20151105.