Least Common Multiple of 572 and 577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 572 and 577 the smallest integer that is 330044 that is divisible by both numbers.

Least Common Multiple (LCM) of 572 and 577 is 330044.

LCM(572,577) = 330044

LCM of 572 and 577

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

LCM of:
and

Least Common Multiple of 572 and 577

LCM of 572 and 577 is 330044

Least common multiple can be found by multiplying the highest exponent prime factors of 572 and 577. First we will calculate the prime factors of 572 and 577.

Prime Factorization of 572


2 572
2 286
11 143
13 13
1

Prime factors of 572 are 2, 11,13. Prime factorization of 572 in exponential form is:

572 = 22×111×131

Prime Factorization of 577


577 577
1

Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:

577 = 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 572 and 577.

LCM(572,577) = 22×111×131×5771
LCM(572,577) = 330044

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Factors of 577

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

1, 577

Least Common Multiple of 572 and 577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 572 and 577, than apply into the LCM equation.

GCF(572,577) = 1
LCM(572,577) = ( 572 × 577) / 1
LCM(572,577) = 330044 / 1
LCM(572,577) = 330044

Properties of LCM 572 and 577

(i) The LCM of 577 and 572 is associative

LCM of 572 and 577 = LCM of 577 and 572

Related Least Common Multiples of 572

Related Least Common Multiples of 577

Frequently Asked Questions on LCM of 572 and 577

1. What is the LCM of 572 and 577?

Answer: LCM of 572 and 577 is 330044.

2. What are the Factors of 572?

Answer: Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. There are 12 integers that are factors of 572. The greatest factor of 572 is 572.

3. 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.

4. How to Find the LCM of 572 and 577?

Answer:

Least Common Multiple of 572 and 577 = 330044

Step 1: Find the prime factorization of 572

572 = 2 x 2 x 11 x 13

Step 2: Find the prime factorization of 577

577 = 577

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

LCM = 330044 = 2 x 2 x 11 x 13 x 577

Step 4: Therefore, the least common multiple of 572 and 577 is 330044.