Least Common Multiple of 577 and 578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 577 and 578 the smallest integer that is 333506 that is divisible by both numbers.

Least Common Multiple (LCM) of 577 and 578 is 333506.

LCM(577,578) = 333506

LCM of 577 and 578

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 577 and 578

LCM of 577 and 578 is 333506

Least common multiple can be found by multiplying the highest exponent prime factors of 577 and 578. First we will calculate the prime factors of 577 and 578.

Prime Factorization of 577


577 577
1

Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:

577 = 5771

Prime Factorization of 578


2 578
17 289
17 17
1

Prime factors of 578 are 2,17. Prime factorization of 578 in exponential form is:

578 = 21×172

Now multiplying the highest exponent prime factors to calculate the LCM of 577 and 578.

LCM(577,578) = 21×172×5771
LCM(577,578) = 333506

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1, 577

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Least Common Multiple of 577 and 578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 577 and 578, than apply into the LCM equation.

GCF(577,578) = 1
LCM(577,578) = ( 577 × 578) / 1
LCM(577,578) = 333506 / 1
LCM(577,578) = 333506

Properties of LCM 577 and 578

(i) The LCM of 578 and 577 is associative

LCM of 577 and 578 = LCM of 578 and 577

Related Least Common Multiples of 577

Related Least Common Multiples of 578

Frequently Asked Questions on LCM of 577 and 578

1. What is the LCM of 577 and 578?

Answer: LCM of 577 and 578 is 333506.

2. 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.

3. What are the Factors of 578?

Answer: Factors of 578 are 1, 2, 17, 34, 289, 578. There are 6 integers that are factors of 578. The greatest factor of 578 is 578.

4. How to Find the LCM of 577 and 578?

Answer:

Least Common Multiple of 577 and 578 = 333506

Step 1: Find the prime factorization of 577

577 = 577

Step 2: Find the prime factorization of 578

578 = 2 x 17 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 333506 = 2 x 17 x 17 x 577

Step 4: Therefore, the least common multiple of 577 and 578 is 333506.