Least Common Multiple of 577 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 577 and 581 the smallest integer that is 335237 that is divisible by both numbers.

Least Common Multiple (LCM) of 577 and 581 is 335237.

LCM(577,581) = 335237

LCM of 577 and 581

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

LCM of:
and

Least Common Multiple of 577 and 581

LCM of 577 and 581 is 335237

Least common multiple can be found by multiplying the highest exponent prime factors of 577 and 581. First we will calculate the prime factors of 577 and 581.

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 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 577 and 581.

LCM(577,581) = 71×831×5771
LCM(577,581) = 335237

Factors of 577

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

1, 577

Factors of 581

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

1, 7, 83, 581

Least Common Multiple of 577 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 577 and 581, than apply into the LCM equation.

GCF(577,581) = 1
LCM(577,581) = ( 577 × 581) / 1
LCM(577,581) = 335237 / 1
LCM(577,581) = 335237

Properties of LCM 577 and 581

(i) The LCM of 581 and 577 is associative

LCM of 577 and 581 = LCM of 581 and 577

Related Least Common Multiples of 577

Related Least Common Multiples of 581

Frequently Asked Questions on LCM of 577 and 581

1. What is the LCM of 577 and 581?

Answer: LCM of 577 and 581 is 335237.

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 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 577 and 581?

Answer:

Least Common Multiple of 577 and 581 = 335237

Step 1: Find the prime factorization of 577

577 = 577

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 = 335237 = 7 x 83 x 577

Step 4: Therefore, the least common multiple of 577 and 581 is 335237.