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 577 the smallest integer that is 330621 that is divisible by both numbers.
Least Common Multiple (LCM) of 573 and 577 is 330621.
LCM(573,577) = 330621
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 573 and 577. First we will calculate the prime factors of 573 and 577.
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 577
577 | 577 |
1 |
Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:
577 = 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 573 and 577.
LCM(573,577) = 31×1911×5771
LCM(573,577) = 330621
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1, 577
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 573 and 577, than apply into the LCM equation.
GCF(573,577) = 1
LCM(573,577) = ( 573 × 577) / 1
LCM(573,577) = 330621 / 1
LCM(573,577) = 330621
(i) The LCM of 577 and 573 is associative
LCM of 573 and 577 = LCM of 577 and 573
1. What is the LCM of 573 and 577?
Answer: LCM of 573 and 577 is 330621.
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 577?
Answer: Factors of 577 are 1, 577. There are 2 integers that are factors of 577. The greatest factor of 577 is 577.
4. How to Find the LCM of 573 and 577?
Answer:
Least Common Multiple of 573 and 577 = 330621
Step 1: Find the prime factorization of 573
573 = 3 x 191
Step 2: Find the prime factorization of 577
577 = 577
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 330621 = 3 x 191 x 577
Step 4: Therefore, the least common multiple of 573 and 577 is 330621.