Least Common Multiple of 575 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 575 and 578 the smallest integer that is 332350 that is divisible by both numbers.

Least Common Multiple (LCM) of 575 and 578 is 332350.

LCM(575,578) = 332350

LCM of 575 and 578

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

LCM of:
and

Least Common Multiple of 575 and 578

LCM of 575 and 578 is 332350

Least common multiple can be found by multiplying the highest exponent prime factors of 575 and 578. First we will calculate the prime factors of 575 and 578.

Prime Factorization of 575


5 575
5 115
23 23
1

Prime factors of 575 are 5,23. Prime factorization of 575 in exponential form is:

575 = 52×231

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 575 and 578.

LCM(575,578) = 21×52×172×231
LCM(575,578) = 332350

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 575 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 575 and 578, than apply into the LCM equation.

GCF(575,578) = 1
LCM(575,578) = ( 575 × 578) / 1
LCM(575,578) = 332350 / 1
LCM(575,578) = 332350

Properties of LCM 575 and 578

(i) The LCM of 578 and 575 is associative

LCM of 575 and 578 = LCM of 578 and 575

Related Least Common Multiples of 575

Related Least Common Multiples of 578

Frequently Asked Questions on LCM of 575 and 578

1. What is the LCM of 575 and 578?

Answer: LCM of 575 and 578 is 332350.

2. What are the Factors of 575?

Answer: Factors of 575 are 1, 5, 23, 25, 115, 575. There are 6 integers that are factors of 575. The greatest factor of 575 is 575.

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 575 and 578?

Answer:

Least Common Multiple of 575 and 578 = 332350

Step 1: Find the prime factorization of 575

575 = 5 x 5 x 23

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 = 332350 = 2 x 5 x 5 x 17 x 17 x 23

Step 4: Therefore, the least common multiple of 575 and 578 is 332350.