Least Common Multiple of 575 and 583

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 583 the smallest integer that is 335225 that is divisible by both numbers.

Least Common Multiple (LCM) of 575 and 583 is 335225.

LCM(575,583) = 335225

LCM of 575 and 583

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

LCM of:
and

Least Common Multiple of 575 and 583

LCM of 575 and 583 is 335225

Least common multiple can be found by multiplying the highest exponent prime factors of 575 and 583. First we will calculate the prime factors of 575 and 583.

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 583


11 583
53 53
1

Prime factors of 583 are 11,53. Prime factorization of 583 in exponential form is:

583 = 111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 575 and 583.

LCM(575,583) = 52×111×231×531
LCM(575,583) = 335225

Factors of 575

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

1, 5, 23, 25, 115, 575

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Least Common Multiple of 575 and 583 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 583, than apply into the LCM equation.

GCF(575,583) = 1
LCM(575,583) = ( 575 × 583) / 1
LCM(575,583) = 335225 / 1
LCM(575,583) = 335225

Properties of LCM 575 and 583

(i) The LCM of 583 and 575 is associative

LCM of 575 and 583 = LCM of 583 and 575

Related Least Common Multiples of 575

Related Least Common Multiples of 583

Frequently Asked Questions on LCM of 575 and 583

1. What is the LCM of 575 and 583?

Answer: LCM of 575 and 583 is 335225.

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 583?

Answer: Factors of 583 are 1, 11, 53, 583. There are 4 integers that are factors of 583. The greatest factor of 583 is 583.

4. How to Find the LCM of 575 and 583?

Answer:

Least Common Multiple of 575 and 583 = 335225

Step 1: Find the prime factorization of 575

575 = 5 x 5 x 23

Step 2: Find the prime factorization of 583

583 = 11 x 53

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

LCM = 335225 = 5 x 5 x 11 x 23 x 53

Step 4: Therefore, the least common multiple of 575 and 583 is 335225.