Least Common Multiple of 573 and 574
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 573 and 574 the smallest integer that is 328902 that is divisible by both numbers.
Least Common Multiple (LCM) of 573 and 574 is 328902.
LCM(573,574) = 328902
LCM of 573 and 574
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 573 and 574 by Prime method
- Least Common Multiple of 573 and 574 with GCF Formula
LCM of 573 and 574 is 328902
Least common multiple can be found by multiplying the highest exponent prime factors of 573 and 574. First we will calculate the prime factors of 573 and 574.
Prime Factorization of 573
| 3 | 573 |
| 191 | 191 |
| 1 |
Prime factors of 573 are 3,191. Prime factorization of 573 in exponential form is:
573 = 31×1911
Prime Factorization of 574
| 2 | 574 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 574 are 2, 7,41. Prime factorization of 574 in exponential form is:
574 = 21×71×411
Now multiplying the highest exponent prime factors to calculate the LCM of 573 and 574.
LCM(573,574) = 21×31×71×411×1911
LCM(573,574) = 328902
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Least Common Multiple of 573 and 574 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 573 and 574, than apply into the LCM equation.
GCF(573,574) = 1
LCM(573,574) = ( 573 × 574) / 1
LCM(573,574) = 328902 / 1
LCM(573,574) = 328902
Properties of LCM 573 and 574
(i) The LCM of 574 and 573 is associative
LCM of 573 and 574 = LCM of 574 and 573
Related Least Common Multiples of 573
Related Least Common Multiples of 574
Frequently Asked Questions on LCM of 573 and 574
1. What is the LCM of 573 and 574?
Answer: LCM of 573 and 574 is 328902.
2. What are the Factors of 573?
Answer: Factors of 573 are 1, 3, 191, 573. There are 4 integers that are factors of 573. The greatest factor of 573 is 573.
3. What are the Factors of 574?
Answer: Factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574. There are 8 integers that are factors of 574. The greatest factor of 574 is 574.
4. How to Find the LCM of 573 and 574?
Answer:
Least Common Multiple of 573 and 574 = 328902
Step 1: Find the prime factorization of 573
573 = 3 x 191
Step 2: Find the prime factorization of 574
574 = 2 x 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 328902 = 2 x 3 x 7 x 41 x 191
Step 4: Therefore, the least common multiple of 573 and 574 is 328902.