Least Common Multiple of 575 and 581

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 581 the smallest integer that is 334075 that is divisible by both numbers.

Least Common Multiple (LCM) of 575 and 581 is 334075.

LCM(575,581) = 334075

LCM of 575 and 581

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

LCM of:
and

Least Common Multiple of 575 and 581

LCM of 575 and 581 is 334075

Least common multiple can be found by multiplying the highest exponent prime factors of 575 and 581. First we will calculate the prime factors of 575 and 581.

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 581


7 581
83 83
1

Prime factors of 581 are 7,83. Prime factorization of 581 in exponential form is:

581 = 71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 575 and 581.

LCM(575,581) = 52×71×231×831
LCM(575,581) = 334075

Factors of 575

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

1, 5, 23, 25, 115, 575

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Least Common Multiple of 575 and 581 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 581, than apply into the LCM equation.

GCF(575,581) = 1
LCM(575,581) = ( 575 × 581) / 1
LCM(575,581) = 334075 / 1
LCM(575,581) = 334075

Properties of LCM 575 and 581

(i) The LCM of 581 and 575 is associative

LCM of 575 and 581 = LCM of 581 and 575

Related Least Common Multiples of 575

Related Least Common Multiples of 581

Frequently Asked Questions on LCM of 575 and 581

1. What is the LCM of 575 and 581?

Answer: LCM of 575 and 581 is 334075.

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 581?

Answer: Factors of 581 are 1, 7, 83, 581. There are 4 integers that are factors of 581. The greatest factor of 581 is 581.

4. How to Find the LCM of 575 and 581?

Answer:

Least Common Multiple of 575 and 581 = 334075

Step 1: Find the prime factorization of 575

575 = 5 x 5 x 23

Step 2: Find the prime factorization of 581

581 = 7 x 83

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

LCM = 334075 = 5 x 5 x 7 x 23 x 83

Step 4: Therefore, the least common multiple of 575 and 581 is 334075.