Least Common Multiple of 573 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 573 and 578 the smallest integer that is 331194 that is divisible by both numbers.

Least Common Multiple (LCM) of 573 and 578 is 331194.

LCM(573,578) = 331194

LCM of 573 and 578

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

LCM of:
and

Least Common Multiple of 573 and 578

LCM of 573 and 578 is 331194

Least common multiple can be found by multiplying the highest exponent prime factors of 573 and 578. First we will calculate the prime factors of 573 and 578.

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 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 573 and 578.

LCM(573,578) = 21×31×172×1911
LCM(573,578) = 331194

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1, 3, 191, 573

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 573 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 573 and 578, than apply into the LCM equation.

GCF(573,578) = 1
LCM(573,578) = ( 573 × 578) / 1
LCM(573,578) = 331194 / 1
LCM(573,578) = 331194

Properties of LCM 573 and 578

(i) The LCM of 578 and 573 is associative

LCM of 573 and 578 = LCM of 578 and 573

Related Least Common Multiples of 573

Related Least Common Multiples of 578

Frequently Asked Questions on LCM of 573 and 578

1. What is the LCM of 573 and 578?

Answer: LCM of 573 and 578 is 331194.

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 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 573 and 578?

Answer:

Least Common Multiple of 573 and 578 = 331194

Step 1: Find the prime factorization of 573

573 = 3 x 191

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 = 331194 = 2 x 3 x 17 x 17 x 191

Step 4: Therefore, the least common multiple of 573 and 578 is 331194.